Fractions problems for 5th grade: Mixed fraction word problems for grade 5

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Free 5th Grade Math Worksheets

You are here: Home → Worksheets → Grade 5 This is a comprehensive collection of free printable math worksheets for grade 5, organized by topics such as addition, subtraction, algebraic thinking, place value, multiplication, division, prime factorization, decimals, fractions, measurement, coordinate grid, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any fifth grade math program, but go especially well with IXL’s 5th grade math curriculum, and their brand new lessons at the bottom of the page. Jump to: Algebra Addition and subtraction in columns Multiplication Division Factoring Place value & rounding Decimal addition Decimal subtraction Decimal multiplication Decimal division Measuring units Write fractions as mixed numbers or vice versa Simplify & equivalent fractions Fraction addition & subtraction Fraction multiplication Fraction division Fractions to Decimals Coordinate grid Geometry The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5). You can print them directly from your browser window, but first check how it looks like in the «Print Preview». If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the «scale» to 95% or 90% in the Print Preview. Some browsers and printers have «Print to fit» option, which will automatically scale the worksheet to fit the printable area. All worksheets come with an answer key placed on the 2nd page of the file. Algebra Addition equations 1 — three 2-digit numbers (missing addend) Addition equations 2 — four numbers, up to 4 digits (missing addend) Subtraction equations — 2-digit numbers (missing minuend or subtrahend) Subtraction equations — 4-digit numbers (missing minuend or subtrahend) Addition and subtraction equations — using 2-digit numbers and variables Addition and subtraction equations  — using 3-digit numbers and variables Simple multiplication and division equations based on the multiplication tables (mental math) Multiplication and division equations — using a two-digit divisor or two-digit factors (solve using long multiplication or long division) Order of operations — 3 operations to do, no parentheses Order of operations — 3 operations to do, parentheses included Order of operations — 4 operations to do, parentheses included Primary Grade Challenge Math by Edward Zaccaro A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging. Addition and subtraction in columns (numbers under each other) Add 5 and 6-digit numbers, 4 addends Add 5 and 6-digit numbers, 5 addends Add 7 and 8-digit numbers, 4 addends Add 7 and 8-digit numbers, 6 addends Subtract 6-digit numbers in columns Subtract 7-digit numbers in columns Subtract 8-digit numbers in columns Place Value and Rounding Find the missing part from a 5-digit number Find the missing part from a 6-digit number (print in landscape) Find the missing part, up to 8-digit numbers or hundred millions (print in landscape) Write up to a 7-digit number given in expanded form in a normal form Write up to a 10-digit number given in expanded form in a normal form (print in landscape) Write up to a 7-digit number given in expanded form in a normal form, parts are scrambled Write up to a 10-digit number given in expanded form in a normal form, parts are scrambled (print in landscape) Write up to a 5-digit number in expanded form Write up to an 8-digit number in expanded form Write up to a 10-digit number in expanded form Skip-counting Skip-count by 20,000, starting at 550,000 Skip-count by 50,000, starting at 120,000 Skip-count by 100,000, starting at 1,350,000 Skip-count by 100,000, starting at 628,000 Skip-count by 300,000, starting at 4,250,000 Skip-count by 500,000, starting at 750,000 Rounding Round to the nearest ten, within 0-10,000 Round to the nearest hundred, within 0-1,000,000 Round to the nearest thousand, within 0-1,000,000 Mixed rounding problems 1 — round to the nearest ten, hundred, or thousand Mixed rounding problems 2 — round to the nearest ten, hundred, thousand, or ten thousand Mixed rounding problems 3 — as above but rounding to the underlined digit Mixed rounding problems 4 — round to the underlined digit, up to rounding to the nearest million Multiplication Mental Multiplication Multiply up to 3-digit numbers by 10, 100, or 1000 Multiply up to 3-digit numbers by 10, 100, or 1000 — missing factor Multiply by whole tens, whole hundreds, and whole thousands (such as 20 × 3000) Multiply by whole tens, whole hundreds, and whole thousands — missing factor Multiply a 1-digit number by a 2-digit number (using partial products mentally) Multiply mentally in parts (such as 3 × 97 or 4 × 208, using distributive property) Long multiplication (in columns) Multiply a 4-digit number by a 1-digit number Multiply a 3-digit number by a 2-digit number Multiply a 4-digit number by a 2-digit number Multiply a 5-digit number by a 2-digit number Multiply a 3-digit number by a 3-digit number Multiply a 4-digit number by a 3-digit number Solve multiplication equations — using long division, 1 or 2-digit divisor Solve division equations — use either long division or multiplication Division Mental division Divide 3- and 4-digit numbers by 1-digit number mentally Division with remainder within 1-100 Division with remainder, divisor a whole ten Division with remainder, divisor a whole hundred Long division 1-digit divisor, 4-digit dividend, no remainder 1-digit divisor, 4-digit dividend, remainder 2-digit divisor, 4-digit dividend, divisor between 11 and 35 2-digit divisor, 4-digit dividend, no remainder — (the divisor is any two-digit number) 2-digit divisor, 4-digit dividend, with remainder — (the divisor is any two-digit number) Multiplication equations (missing factor; solve by long division) Division equations (missing dividend or divisor; solve by long multiplication or long division) The following four worksheet types are beyond the Common Core standards for fifth grade. 1-digit divisor, 5-digit dividend, no remainder 1-digit divisor, 5-digit dividend, with remainder 2-digit divisor, 5-digit dividend, no remainder 2-digit divisor, 5-digit dividend, with remainder Factoring Factoring numbers within 4-100 to prime factors Challenging factoring: factor numbers within 4-500 to prime factors List all the factors of the given number Fraction addition & subtraction Like fractions/fractional parts Add or subtract 2 like fractions — denominators from 2-25 Add or subtract 3 like fractions — denominators from 2-25 Add or subtract 2 like fractions — denominators from 2-99 Add or subtract 2 mixed numbers (like denominators) Add or subtract 3 mixed numbers (like denominators) Add or subtract a mixed number/fraction/whole number (like denominators) Add or subtract a mixed number/fraction/whole number (like denominators) — missing addend Unlike fractions/fractional parts Add or subtract unlike fractions — denominators 2, 3, 4, 5, 6, 8, and 10 Add or subtract unlike fractions — denominators 2-12 Challenge: add or subtract unlike fractions — denominators 2-25 Challenge: add or subtract 3 unlike fractions — denominators 2, 3, 4, 5, 6, 8, and 10 Add or subtract mixed numbers — denominators 2-12 Add or subtract mixed numbers — denominators 2-25 Add or subtract a mixed number and a fraction or a whole number — denominators 2-12 Add or subtract a mixed number and a fraction or a whole number — denominators 2-25 Fraction multiplication Fraction times a whole number — easy Fraction times a whole number — medium Fraction multiplication 1 — special easy denominators Fraction multiplication 2 — denominators 2-12 Fraction multiplication 3 — three fractions, denominators 2-12 Fraction multiplication 4 — challenge; denominators 2-25 Multiply a mixed number by a fraction Multiply mixed numbers 1 — easy Multiply mixed numbers 2 — denominators 2-12 Mixed multiplication practice (by fractions, mixed numbers, or whole numbers) Challenge: a whole number times a fraction — missing factor Challenge: a fraction times a fraction — missing factor Fraction division Divide a whole number by a unit fraction (mental math) Divide a unit fraction by a whole number (mental math) The following worksheet types are beyond the Common Core standards. Divide a whole number by a fraction — easy (mental math), answers are whole numbers Divide a mixed number by a fraction — easy (mental math), answers are whole numbers Convert fractions to mixed numbers and vice versa Mixed numbers to fractions — easy (the answers are NOT simplified; 12 problems per page) Mixed numbers to fractions — easy (the answers are NOT simplified; 18 problems per page) Mixed numbers to fractions — easy (the answers are simplified) Mixed numbers to fractions — medium (the answers are simplified; 12 problems per page) Mixed numbers to fractions — medium (the answers are simplified; 18 problems per page) Mixed numbers to fractions — challenge (the answers are simplified) Fractions to mixed numbers — easy (the answers are NOT simplified; 12 problems per page) Fractions to mixed numbers — easy (the answers are simplified; 12 problems per page) Fractions to mixed numbers — easy (the answers are simplified; 18 problems per page) Fractions to mixed numbers — medium (the answers are simplified) Equivalent Fractions and Simplify Fractions Simplify fractions — easy Simplify fractions — harder Equivalent fractions — easy Equivalent fractions — harder Equivalent fractions — hardest Write Fractions as Decimals and Vice Versa In the worksheets below, the answer key does not give the fractions in simplified form. For example, 0.24 is given as 24/100, not as 6/25. If you prefer, you may ask the student to simplify. Write decimals as fractions (1-2 decimal digits) (the numbers are less than 1) Write decimals as mixed numbers (1-2 decimal digits) Write decimals as fractions (1-3 decimal digits) Write decimals as mixed numbers (1-3 decimal digits) Write fractions as decimals (tenths and hundredths) (the numbers are less than 1) Write fractions as decimals (till thousandths) (the numbers are less than 1) Write mixed numbers and fractions as decimals (till thousandths) Write improper fractions as decimals (till hundredths) Write improper fractions as decimals (till thousandths) Decimal Addition Mental math 0 to 1 decimal digits Two addends, 0-1 decimal digits Three addends, 0-1 decimal digits Four addends, 0-1 decimal digits Two addends, 0-1 decimal digits, missing addend Three addends, 0-1 decimal digits, missing addend 0 to 2 decimal digits Two addends, 0-2 decimal digits Three addends, 0-2 decimal digits (challenge) Two addends, 0-2 decimal digits, missing addend (easier) Two addends, 0-2 decimal digits, missing addend (harder) Two addends, up to 3 decimal digits Column-addition Add in columns (addends have 0-2 decimal digits) Add in columns (addends have 0-2 decimal digits) (three addends) Add in columns (addends have 0-2 decimal digits) (four addends) Write the decimals under each other to add in columns (0-2 decimal digits; 2 addends) Write the decimals under each other to add in columns  (0-2 decimal digits; 3 addends) Write the decimals under each other to add in columns (0-2 decimal digits; 4 addends) Write the decimals under each other to add in columns (0-3 decimal digits; 2 addends) Write the decimals under each other to add in columns (0-3 decimal digits; 4 addends) Decimal Subtraction Mental math 0 to 1 decimal digits Subtract a decimal from a whole number Subtract two decimal numbers Missing minuend/subtrahend Addition and subtraction problems Subtract decimals — two subtrahends (such as 4. 5 − 0.3 − 0.9) Missing minuend/subtrahend — two subtrahends (such as 4.5 − ___ − 0.9 = 2.1) Addition and subtraction problems with 3 numbers 0 to 2 decimal digits Subtract a decimal from a whole number Subtract two decimal numbers Missing minuend/subtrahend Challenges: mental math Subtract from a whole number — two subtrahends Subtract a decimal from a whole number, with up to 3 decimal digits Subtract two decimal numbers Subtract decimals — two subtrahends Addition and subtraction problems Column-subtraction Subtract in columns (0-2 decimal digits) Write the decimals under each other to subtract in columns (0-2 decimal digits) Write the decimals under each other to subtract in columns (0-3 decimal digits) Write the numbers under each other and subtract — two subtrahends Addition and subtraction problems with 3 numbers Challenges: algebraic thinking Addition and subtraction equations — easy (0-1 decimal digits) Addition and subtraction equations — easy (0-2 decimal digits Addition and subtraction equations — harder (0-1 decimal digits) Addition and subtraction equations — harder (0-2 decimal digits) Decimal Multiplication Mental math Multiply a whole number and a decimal — easy (one decimal digit) Multiply a whole number and a decimal — harder (one decimal digit) Multiply a whole number and a decimal — missing factor (one decimal digit) Multiply a whole number and a decimal (1-2 decimal digits) Multiply a whole number and a decimal — missing factor (1-2 decimal digits) Multiply a whole number and a decimal (1-3 decimal digits) Multiply a whole number and a decimal — missing factor (1-3 decimal digits) Multiply decimals by decimals Multiply decimals by decimals — missing factor Multiply decimals by decimals or whole numbers (mixed practice) Multiply decimals by decimals or whole numbers — missing factor (mixed practice) Multiply by 10 or 100 (1-2 decimal digits) Multiply by 10, 100, or 1000 (1-2 decimal digits) Multiply by 10, 100, or 1000 — missing factor (1-2 decimal digits) Multiply by 10 or 100 (1-3 decimal digits) Multiply by 10, 100, or 1000 (1-3 decimal digits) Multiply by 10, 100, 1000, 10000, or 100000 (1-3 decimal digits) Multiply decimals by 10, 100, or 1000 — missing factor (1-3 decimal digits) Multiply in columns Multiply a decimal by a whole number (0-2 decimal digits) Multiply a decimal by a whole number (0-3 decimal digits) Multiply decimals by decimals (1-2 decimal digits) Multiply decimals, writing the numbers under each other (0-2 decimal digits) Multiply decimals, writing the numbers under each other (challenge; 0-3 decimal digits) Decimal Division Mental math Divide a decimal by a whole number (1 decimal digit) As above — missing dividend or divisor Divide a decimal by a whole number  (1-2 decimal digits) As above — missing dividend or divisor Divide decimals by decimals (Think of how many times the divisor fits into the quotient. ) Mixed multiplication and division problems 1 (1 decimal digit) Divide whole numbers by 10, 100, or 1000 As above — missing dividend or divisor Divide decimals or whole numbers by 10 or 100 As above — missing dividend or divisor Multiply or divide decimals & whole numbers by 10, 100, and 1000 Long division Divide decimals by whole numbers (1-3 decimal digits; single-digit divisor) Divide decimals by whole numbers (1-3 decimal digits; two-digit divisor) Divide a decimal by a whole number, round the answers to three decimals (need to add zeros to the dividend) Divide a whole number or a decimal by a whole number, round the answers to three decimals (need to add zeros to the dividend) Convert a fraction to a decimal using long division, rounding the answers to three decimals Divide a whole number or a decimal by a decimal using long division Measuring units Customary system Convert between inches & feet — easier Convert between inches & feet — harder Convert between inches, feet, and yards — easier Convert between inches, feet, and yards — harder Convert between inches, feet, and yards with decimals — use a calculator Convert between miles, yards, and feet 1 — use a calculator Convert between miles, yards, and feet 2 — use a calculator Convert between ounces & pounds — easier Convert between ounces & pounds — harder Convert between tons & pounds — easier Convert between tons & pounds — harder Convert between tons, pounds, and ounces with decimals — use a calculator Convert between cups, pints, and quarts Convert between cups, pints, quarts, and gallons Convert between ounces, cups, and quarts All customary units except miles — mixed practice All customary units except miles — mixed practice — a challenge Convert between various customary units with decimals — use a calculator Metric system Convert between mm, cm and m — using decimals Convert between mm, cm, m, and km — using decimals Convert between ml & l and g & kg — using decimals All metric units mentioned above — mixed practice — using decimals Metric system: convert between the units of length (mm, cm, dm, m, dam, hm, km) Metric system: convert between the units of weight (mg, cg, dg, g, dag, hg, kg) Metric system: convert between the units of volume (ml, cl, dl, L, dal, hl, kl) Metric system: convert between the units of length, weight, and volume Coordinate grid Plot points & shapes or tell coordinates of points (grid is scaled from 0 to 10) Plot points & shapes or tell coordinates of points (grid is scaled from 0 to 20) Move a shape in coordinate grid in one direction (grid is scaled from 0 to 10) Move a shape in coordinate grid in two directions (grid is scaled from 0 to 10) Move a shape in two directions (grid is scaled from 0 to 20) Geometry Classify triangles by their sides Classify triangles by their angles Classify triangles by their sides and angles Classify quadrilaterals — square, rectangle, rhombus, parallelogram, and trapezoid (kite and scalene quadrilateral are excluded) Classify quadrilaterals — all seven types Find the volume of a prism or edge length of a cube (when its volume is given) (easy) Find the volume of a prism or edge length of a cube (when its volume is given) (more challenging) If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself: Math Worksheets Menu 1st grade 2nd grade 3rd grade 4th grade 5th grade 6th grade 7th grade Addition worksheets Number bonds worksheets Number Charts Multiplication worksheets Division worksheets Basic operations: addition, subtraction, multiplication and division (incl. integers) Roman numerals Place value & scientific notation Rounding Time (clock) Customary measuring units Metric measuring units Classify triangles Classify quadrilaterals Area & perimeter of rectangles Area of triangles & polygons Coordinate grid, moves, reflections Circle US Money Canadian Money Australian Money British Money European Money South African Money Fraction worksheets 1 Fraction worksheets 2 Fraction addition Comparing fractions Equivalent fractions 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Test: Problems for fractions — Mathematics Grade 5

Test: Problems for fractions — Mathematics Grade 5

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Problems for fractions «

Mathematics Grade 5 | Author: Yurchishina Natalya Alexandrovna | ID: 14908 | Date: 3. 11.2021

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Question #
1

How to find a fraction of a number?

To find a fraction of a number, you need to divide the given number by the denominator of the fraction and multiply the result by its numerator
To find a fraction of a number, you need to divide the given number by the numerator of the fraction and multiply the result by its denominator


Question #
2

How to find the whole number by the value of its fraction (part)?

To find the whole number, knowing the value of its fraction (part), you need to divide the value of this part by the denominator of the fraction and multiply the result by the numerator
To find the whole number, knowing the value of its fraction (part), you need to divide the value of this part by the numerator fractions and the result is multiplied by the denominator


Question #
3

The mass of the cake is 4800 g. Misha got 3/16 of the cake. How many grams of cake did Misha get?

900 g
25600 g
100 g
300 g


Question #
4

Tourists walked 12 kilometers, which is 2/3 of the entire route. What is the whole path?

8 km
72 km
18 km
4 km


Question #
5

20 is 2/5 of the total. Find the whole number.

50
8
2
20


Question #
6

What is 2/5 of 40 equal to?

100
8
16
4


Question #
7

The numerator of the fraction is … (choose several answers so that the definition of the concept is complete)

the number that is written above the fractional bar
the number that shows how many equal parts the integer was divided into
the number that shows how many equal parts they took
the number that is written below the fractional bar
the fractional bar


Question #
8

Is it true that the denominator of a fraction is the number that is written under the fractional line and indicates how many equal parts the whole is divided into?

No
Yes


Question #
9

What is 3/4 of an hour?

15 minutes
80 minutes
20 minutes
45 minutes


Question #
10

Which is greater 1/5 km or 150 m?

1/5 km
they are equal to
150 m
impossible to set

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Ordinary fractions. Mathematics, grade 5: lessons, tests, assignments.

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• Mathematics
• 5th grade

1. Division with remainder. The concept of an ordinary fraction
   

2. Basic property of a fraction.