6 Free Adding and Subtracting Fractions with Regrouping Worksheet
This article will show you the procedures of adding and subtracting fractions with regrouping worksheet for grade 4 and 5 students. They will learn basic subtraction methods and can improve their basic math skills with our free printable worksheets.
6 Free Adding and Subtracting Fractions with Regrouping Worksheet
Download the following worksheets and practice.
How to Add and Subtract Fractions Using Regrouping Methods
You must first identify a common denominator when adding or subtracting fractions with various denominators. To do this, determine the denominators’ least common multiples (LCM), then use that value as the new denominator for each fraction. If possible, you can add or subtract the numerators after finding a common denominator to simplify the resultant fraction. You must regroup the fraction or simplify it as a mixed number if the numerator is bigger than the denominator. Here’s an example of how to add and subtract fractions using regrouping: Add 2/3 and 5/4.
Step 1:
Find the least common multiple (LCM) of 3 and 4.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30…
4, 8, 12, 16, 20, 24, 28, 32, 36…
The LCM of 3 and 4 is 12.
Step 2:
Convert each fraction to an equivalent fraction with a denominator of 12.
2/3 = 8/12 (multiply numerator and denominator by 4)
5/4 = 15/12 (multiply numerator and denominator by 3)
Step 3:
Add the numerators.
8/12 + 15/12 = 23/12
Step 4:
Simplify the fraction or regroup as a mixed number.
23/12 is an improper fraction, so we need to regroup it as a mixed number.
23/12 = 1 11/12
Therefore,
2/3 + 5/4 = 1 11/12.
When subtracting fractions using regrouping, the steps are similar, except you subtract the numerators in step 3 instead of adding them.
Regrouping in Fractions
Regrouping in fractions entails changing an improper fraction into a mixed fraction or vice versa.
A mixed number is a combination of a whole number and a fraction, while an improper fraction is a fraction in which the numerator is more than or equal to the denominator. Regrouping can aid in fraction addition, subtraction, multiplication, and division because it makes math simpler to comprehend and perform.
You can divide the numerator by the denominator of an improper fraction to get a mixed number. The mixed number’s whole number component is represented by the quotient and its numerator by the remainder. For instance, since 7/4 divides into 1 with a remainder of 3, the improper fraction can be reorganized as the mixed number 1 3/4.
You can multiply the entire number by the denominator and then add the numerator to transform a mixed number into an improper fraction.
3 Ways for Adding and Subtracting Fractions with Regrouping
Download the worksheets and practice with your kiddos.
Simple Fractions Regrouping in Addition
- First take two fractions, like- ⅗ and ⅚. Let’s assume these two fractions to add.
- Now calculate the LCM of the two denominators.
- The LCM will be 30.
- Now divide the LCM with one denominator and multiply the numerator with the quotient.
- Do the same thing with the other fraction.
- Add both quotients together.
- If you find that the fraction is improper, make the fraction mixed.
Mixed Fraction Regrouping
- First, transform the mixed fraction into an improper fraction.
- Then, to add or subtract, follow the steps described in the former activity.
- After adding or subtracting, if the result shows any improper fraction, make the fraction mixed.
Adding and Subtracting Fractions with Regrouping Bingo Game
- Roll the dice first.
- If anyone lands on a Bingo box, he or she will draw a card.
- He or she will solve the problems given in the card.
- If the problem is solved correctly, he or she will proceed with the game, otherwise, h or she will be stuck.
- The first one who completes the game will win the game.
Download Free Printable Worksheet
Please download the free PDF for borrowing worksheets.
So today, we’ve discussed adding and subtracting fractions with regrouping worksheet using the concepts of simple fraction regrouping, mixed fraction regrouping, and a bingo game. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of fractions.
Hi there! This is Souptik Roy, a graduate of the Bangladesh University of Engineering and Technology, working as a Content Developer for the You Have Got This Math project of SOFTEKO. I am a person with a curious and creative mind. After finishing my Engineering degree, I want to explore different fields. This is why I am working here as a content developer. I have a massive interest in creative content writing. When I find that someone can learn something from my articles, this gives a lot of inspiration. hopefully, you will find interest in my article, if you have a child and want to teach them math with fun.
