Add subtract fractions with unlike denominators worksheet: Add & Subtract Fractions Worksheets for Grade 5
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Adding & Subtracting Fractions
Adding Mixed Fractions (Visual)
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Each worksheet has 7 problems using a visual model to solve addition problems.
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Subtracting Mixed Fractions (Visual)
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Each worksheet has 7 problems using a visual model to solve subtraction problems.
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Mixed Fractions (Same Denominator)
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Each worksheet has 12 problems adding or subtracting mixed fractions with the same denominator.
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Improper Fractions (Same Denominator)
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Each worksheet has 12 problems adding or subtracting improper fractions with the same denominator.
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Subtracting Fractions (with regrouping)
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Each worksheet has 16 problems subtracting mixed numbers using regrouping.
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Word Problems Same Denominator
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Each worksheet has 10 problems solving addition & subtraction problems.
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Adding 10ths and 100ths
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Each worksheet has 20 problems adding a 10th to a 100th.
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Adding Parts of a Whole
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Each worksheet has 15 problems identifying the value and its corresponding fraction.
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Adding Fractions Visual (combining)
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Each worksheet has 10 problems adding two fractions together as parts of a whole.
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Adding Fractions Numeric & Visual
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Each worksheet has 15 problems identifying which visual representation matches the numeric answer for a fraction.
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Adding and Subtracting Fractions Visually (Different Denominators)
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Each worksheet has 10 problems adding and subtracting fractions with different denominators using a visual model.
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Different Denominator
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Each worksheet has 12 problems adding or subtracting fractions with a different denominator.
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Word Problems Different Denom
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Each worksheet has 10 problems solving addition & subtraction problems.
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Combining Amounts
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Each worksheet contains 6 problems combining fractions to determine the total amount.
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Adding & Subtracting Fractions (Same Denominator)
Each worksheet has 12 problems adding or subtracting fractions.
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Adding & Subtracting Fractions (Different Denominator)
Each worksheet has 12 problems adding or subtracting fractions.
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Adding Unit Fractions
Each worksheet has 15 problems adding unit fractions.
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Browse Printable Subtracting Fractions with Unlike Denominator Worksheets
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Subtracting Fractions with Unlike Denominators
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Search Printable Subtracting Fractions with Unlike Denominator Worksheets
What should young mathematicians do when they are subtracting fractions with unlike denominators? These educational math worksheets provide answers to this question as well as the opportunity for students to practice subtracting with unlike denominators.
These resources include practice problems, subtraction strategies, and helpful vocabulary so your students can start subtracting fractions with unlike denominators right away.
Lesson in the 5th grade on the topic «Actions with fractions» | Lesson plan in mathematics (grade 5):
Topic: Actions with ordinary fractions.
Objectives of the lesson:
— to organize work on generalization and systematization of knowledge about ordinary fractions, to consolidate and improve the skills of actions with ordinary fractions;
— create conditions for the development of self-control skills and self-assessment of the knowledge and skills achieved, the development of computational skills and logical thinking;
— cultivate attentiveness, activity, independence, responsibility, ability to work in a team, instill interest in studying the subject.
Type of lesson: lesson of generalization and systematization of knowledge.
Equipment: interactive board AktivBoard, cards with examples.
Course of the lesson:
1. Organizational moment. Greeting students.
2. Updating of basic knowledge.
T: You have worksheets on your desks. Sign your IF on them. These sheets present the plan according to which we will work today in the lesson and two more columns, one of which is self-assessment, and the second is teacher assessment. How do you understand the self-esteem column? (listen to the answers). You are right, in this column you will independently enter points for yourself throughout the lesson. We will start the lesson with you with a warm-up. On the tables, find the first task «Warm-up». I suggest you work in pairs and complete the following. task: divide these fractions by type by filling out the table. I give you two minutes to complete the task.
Check:
— How many proper fractions did you find? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many improper fractions did you find? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many mixed numbers did you find? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many fractions did you find that can be reduced? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many fractions were found equal to 1? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many fractions smaller than 1 were found? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
— How many fractions of large 1 were found? Place a plus sign next to each fraction if the answer is correct, and a minus sign if it is incorrect.
Count the number of correct answers, i.e. the number of benefits. And count the negatives.
On the worksheet, we found item 1 Warm-up and in the self-assessment column put opposite the words “Number of correct answers”, the number of pluses, then, opposite the incorrect answers in the self-assessment column, the number of minuses.
If you really worked in pairs, i.e. performed the task together, together, then in front of the “cooperation” column, put yourself 1b, if it didn’t work out in pairs, then we don’t set ourselves a point.
— Why do you think we started the lesson with fractions?
— What have you already learned to do with fractions?
— Now try to formulate the theme of our lesson. (Ordinary fractions, actions with ordinary fractions).
Write this topic on your score sheet in item 2.
What do you think we will practice today at the lesson?
Determine the objectives of our lesson. (repeat with ordinary fractions).
In our worksheets, from the words “repeat”, draw an arrow to the topic of the lesson, as shown on the slide.
Who understands what he should learn today, put yourself 1b in the column of self-assessment opposite the word «Goals».
3. Motivation for learning activities..
-For a long time, fractions were considered the most difficult section of mathematics.
We have a saying: “hit a dead end”, who knows what it means? those. got into a position from which there is no way out.
The Germans have a similar proverb: “get into fractions”. It means that the person who got into the “fractions” found himself in a difficult situation.
In fact, fractions are considered to be one of the most difficult sections of mathematics to this day. The history of fractions has more than one millennium. The ability to divide the whole into parts arose in the territory of ancient Egypt and Babylon. Over the years, the operations performed with fractions became more complicated, the form of their recording changed. Each state of the ancient world had its own characteristics in the «relationship» with this section of mathematics. In mathematics lessons, at the very beginning of the study of the topic «Ordinary fractions», we learned some historical facts from the appearance and development of fractions. Unfortunately, we have not been able to pay sufficient attention to this issue.
Want to learn more about the history of fractions? Then let’s get started.
4. Formation of skills and abilities.
Fractions appeared in ancient times, but the word «Fraction» appeared in Russian only in the 18th century. The word «Fraction» comes from the word «Crush», i.e. break, break into pieces. Among other peoples, the name of the fraction is also associated with the verbs «break», «break», «crush». But in the first mathematics textbooks, fractions had a completely different name, in order to find out how fractions used to be called, we will complete the task from paragraph 3 «Confusion».
Find the task «Confusion» on the tables. Before you are fractions that are mixed up, arranging them in ascending order with the correspondence of letters, determine what name the fractions had in the first mathematics textbooks. This task is done by each individual. I give 2 minutes to complete.
Check. (listen to several options, add one point for speed).
Find item 3 «Confusion» on the evaluation sheet.
— Rate yourself. If you completed the task correctly, put yourself 2b. If you make a mistake 1b. If you made more than 1 mistake or did not cope with the task, then give yourself 0 points.
Peoples went through many ways of notation of fractions until they came to modern notation. For example, in ancient Greece, fractions were written the other way around, the denominator was on top, below it was the numerator of the fraction, and such a record meant three-fifths.
The notation of fractions in ancient India differs from the modern notation in that they did not use a fractional bar.
In ancient China, a dot was used instead of a fractional bar.
The fractional bar appeared much later.
Find the task «Discovery» on your tables. I suggest doing this task in pairs. You need to follow the steps and you will find out the name of the Italian mathematician who first began to use the modern notation of fractions and introduced the word fraction itself.
Check:
— Rate yourself. If you completed the task correctly, put yourself 3b. If you make a mistake 2b. If you made more than 1 mistake, then give yourself 1 point. And for the activity of working in pairs, i.e., if you really worked in pairs, then give yourself another 1b.
Leonardo of Pisa the first major mathematician of medieval Europe. Best known by the nickname Fibonacci. He became the first European scientist who began to use and distribute the modern notation of fractions. He also introduced the word fraction itself. To find out what year it is, I propose to complete this task in groups.
On the tables, find the task «Tasks». Task: solve problems. If you write out the last digit from each answer, you will get the year in which Leonardo of Pisa introduced the word fraction.
Check:
Ask several groups for a solution.
i.e. Leonardo of Pisa began to use and distribute the modern record of fractions in 1202.
Rate yourself.
If you correctly filled in all the gaps, then put yourself 3b. If you made somewhere one or two mistakes 2b, if you made more than two mistakes — 1b. And evaluate your work in the group. If you really worked in a group, i.e. performed the task together, together, then in front of the “cooperation” column, put yourself 1b, if it didn’t work out in a group, then we don’t set ourselves a point.
5. The results of the lesson.
Let’s return to the purpose of the lesson. Name her. Have you reached it?
What have you learned?
— Write any fraction on your sheet, fulfilling the condition, the fraction is correct if something did not work out for you, incorrect if everything worked out.
Subtraction of fractions with different, equal denominators
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All school lessons can be useful in real life. Knowing fractions, for example, will come in handy when cutting a pizza into equal parts or when calculating interest on a loan.
In this article we will tell you how to subtract fractions.
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The concept of a fraction
The fraction is a form of number representation in mathematics. This is an entry in which a and b are numbers or expressions. There are two recording formats:
- ordinary form — or ,
- decimal — 0.5.
Above the line, it is customary to write the dividend, which is the numerator. And below the line there is always a divisor, which is called the denominator. The bar between the numerator and denominator means division.
There are two types of fractions:
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Numeric — consist of numbers, for example, or .
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Algebraic — consist of variables, for example, . In this case, the value of the fraction depends on the given values of the letters.
A fraction is called proper when its numerator is less than its denominator. For example and .
Incorrect is a fraction whose numerator is greater than or equal to the denominator. For example, . Such a number is mixed and reads like five point one fourth, and is written -.
Basic properties of fractions:
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A fraction has no meaning if the denominator is zero.
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A fraction is zero if the numerator is zero and the denominator is non-zero.
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They are also called equal if a × d = b × c.
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If the numerator and denominator are multiplied or divided by the same natural number, then a fraction equal to it will be obtained.
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Subtraction of fractions with the same denominators
denominators need from the numerator of the first Subtract the second numerator and leave the denominator the same.
Before fixing the answer, it is important to check the possibility of reduction.
Let’s use this rule as an example:
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Subtraction of fractions with different denominators
How to subtract fractions with different denominators? To do this, we bring them to a common denominator and find the difference between the numerators.
Consider an example in which you need to find the difference and .
How we solve:
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First of all, we need to bring the fractions to a common denominator. To determine the common denominator, you need to find the least common multiple — LCM.
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To find the LCM, we decompose the denominators of 9 and 15 into prime factors:
9 = 3 × 3
15 = 3 × 5
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First, write out the factors from the first expansion: 3 × 3. Now add the factor from the second expansion, which was not in the first — this is 5. We multiply and get the LCM:
LCM (9, 15) = 3 × 3 × 5 = 45
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Find additional factors. To do this, we divide the LCM by each denominator:
45 : 9 = 5
45 : 15 = 3
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Multiply the resulting numbers by the corresponding fractions:
and
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Let’s proceed to the subtraction of given numbers:
Answer:
Subtraction of an ordinary fraction from a natural number
To subtract a natural number from an ordinary fraction, this action must be reduced to the subtraction of ordinary fractions.
Let’s analyze for clarity the example of the difference 3 and .
How we solve:
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Let’s represent a natural number as a mixed one — we take one and translate it into an improper fraction with the same denominator as the subtracted one:
.
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Subtract one fraction from another:
Answer: two point one seventh.
Subtracting a natural number from a common fraction
To subtract a natural number from a common fraction, follow the same algorithm as in the previous example. Namely: convert a natural number into a fraction, bring everything to a common denominator, find the difference.
Consider the example of the difference and 3.
How we solve:
You can also do this:
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Let’s represent it as a mixed fraction, for this we divide the divisor by the dividend:
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Subtract:
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