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# adding and subtracting fractions with like denominators

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### James

Guys, does anyone know the answer?

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5th grade adding and subtracting fractions worksheets, including adding like fractions, adding mixed numbers, completing whole numbers, adding unlike fractions and mixed numbers, and subtracting like and unlike fractions and mixed numbers. No login required.

## Add & subtract like and unlike fractions

These grade 5 worksheets provide practice in adding and subtracting fractions with both like and unlike denominators.

Add like fractions 3/8 + 4/8 =

Add fractions and mixed numbers 3/8 + 3 4/8 =

Add mixed numbers (like denominators) 4 3/8 + 3 4/8 =

Completing whole numbers 2 3/4 + ___ = 5

Add unlike fractions 2/5 + 2/3 =

Add fractions and mixed numbers 5 2/5 + 2/3 =

Add mixed numbers 5 2/5 + 4 2/3 =

## Subtracting like fractions

Subtract like fractions 5/7 - 3/7 =

Subtract a fraction from a whole number 6 - 3/7 =

Subtract a fraction from a mixed number 3 2/7 - 3/7 =

Subtract mixed numbers (same denominators) 3 2/7 - 1 3/7 =

Subtract mixed numbers (missing number) 3 2/7 - ___ = 1 6/7

## Subtracting unlike fractions

Subtract unlike fractions 4/5 - 2/3 =

Subtract unlike fractions (harder) 17/25 - 2/3 =

Subtract mixed numbers (unlike denominators) 16 8/9 - 5 1/8 =

## Word problems

Add & subtract fractions word problems Word problems

Add & subtract mixed numbers Word problems

## More fractions worksheets

Explore all of our fractions worksheets, from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

Source : www.k5learning.com

## Adding and Subtracting Fractions with Like Denominators

When adding and subtracting fractions, the first thing to check is if the denominators are the same.

## Adding and Subtracting Fractions with Like Denominators

When adding and subtracting fractions, the first thing to check is if the denominators are the same.

If the denominators are the same, then it's pretty easy: just add or subtract the numerators , and write the result over the same denominator.

2 13 + 5 13 = 7 13 213+513=713

4 5 − 1 5 = 3 5 45−15=35

You may get an answer which is not in lowest terms , even if the fractions you were adding and subtracting both were. In this case, you have to reduce the fraction .

5 12 + 1 12 = 6 12 = 6 ÷ 6 12 ÷ 6 = 1 2

512+112=612=6 ÷ 612 ÷ 6=12

Source : www.varsitytutors.com

## Adding fractions with like denominators (video)

Current time:0:00Total duration:3:18

Adding and subtracting fractions with like denominators

## Adding fractions with like denominators

Sal adds 3/15+7/15. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Adding and subtracting fractions with like denominators

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Practice: Add fractions with common denominators

Subtracting fractions with like denominators

Practice: Subtract fractions with common denominators

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Adding and subtracting fractions: word problems

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## Want to join the conversation?

Posted 9 years ago. Direct link to KXZivkovic's post “Does GCD mean greatest co...”

Does GCD mean greatest common divider. If so than how is it any different from LCM?

• Elijah Lape 9 years ago

Posted 9 years ago. Direct link to Elijah Lape's post “Yes, GCD means Greatest C...”

Yes, GCD means Greatest Common Divisor. Another way to think of it is the Greatest Common Factor. When comparing 2 or more numbers, the GCD/GCF is the LARGEST (i.e. greatest) factor that they both share. For example, 12 and 16. The factors of 12 are 1, 2, 3, 4, 6, 12 and the factors of 16 are 1, 2, 4, 8, 16. If you look at both lists, you'll notice that both share the numbers 1, 2 and 4 but the largest of these shared COMMON factors is 4 so the GCD or GCF is 4. You'll notice that this is smaller than both 12 and 16.

LCM is the Lowest/Least Common Multiple. MULTIPLES on the other hand are larger or equal to the numbers you are comparing. Take 3 and 8. The multiples of 3 is just the 3 times table (3, 6, 9, 12, etc.) and the multiples of 8 are the 8 times table (8, 16, 24, 32, and so on). If you continued each table you would eventually find that each table shares some numbers. The SMALLEST (i.e. least/lowest) of these that are shared is the LCM. In this case, continuing 3's multiples: 15, 18, 21, 24, 27... etc. You can see that 8 and 3 can both multiply to 24. So the LCM is 24. Using the previous example of 12 and 16, the LCM is 48 since 12 x 4 = 48 and 16 x 3 = 48.

Jason Weber 75 9 years ago

Posted 9 years ago. Direct link to Jason Weber 75's post “at 0:17, Sal said that if...”

at 0:17, Sal said that if the denominator is the same, you just add the numerator and then the denominator stays the same? I just dont get it. Is it the same on the problems without the same denominators?

• hmmm 9 years ago

Posted 9 years ago. Direct link to hmmm's post “If the denominators are d...”

If the denominators are different, then the formula will not be the same. Let's say you have this problem:

1/3 + 1/3.

The denominators are the same, so they will not change. You simply add the numerators and keep the denominator.

1/3 + 1/3 = 2/3

However, if you have this problem:

1/2+1/4

You have to make the denominators the same. A way to do this is to divide the larger denominator by the smaller denominator to find the GCD (Greatest Common Divisor):

4÷2=2

Then multiply the numerator and denominator of 1/2 by 2 (our GCD):

1 x 2 = 2 2 x 2 = 4

The denominators are now the same, so let's add:

2/4 + 1/4 = 3/4 So: 1/2 + 1/4 = 3/4! I hope this helped! Voltaire 9 years ago

Posted 9 years ago. Direct link to Voltaire's post “Why do the denominators h...”

Why do the denominators have to be the same?

• kristin.willard 8 years ago

Posted 8 years ago. Direct link to kristin.willard's post “The denominators have to ...”

The denominators have to be the same so you can add the numerators together without worrying about the denominators being different sizes, because that affects the value of the fraction.

It's like trying to count the number of pieces you can get out of different cakes. If the cakes are different sizes, it wouldn't be fair because some people would get larger pieces than others. By making cakes that are the same size and then counting the number of pieces, you can be sure that everyone is getting a fair amount of cake.

In order to add fractions correctly, the "cakes" need to be the same size, which is why the denominators (bottom numbers in the fractions you are adding) need to be the same value.

Novantix 5 years ago

Posted 5 years ago. Direct link to Novantix's post “What if i have 6/10 - 8/1...”

What if i have 6/10 - 8/10 how do I solve that? Because the number is smaller than the other and I dont have a mixed fraction to borrow from.

Posted 5 years ago. Direct link to Madialyn Neyohaven's post “You just end up with a ne...”

You just end up with a negative fraction. Just like 6-8 would end up negative, 6/10 - 8/10 would end up negative as well. Your answer would be a negative 2 tenths, or -2/10 or simplified -1/5. Does that make sense?

Bitty Bob Jones 3 years ago

Posted 3 years ago. Direct link to Bitty Bob Jones's post “What if your sum goes ove...”

What if your sum goes over the denominator? Say, 7/14 + 9/14. How do you deal with that?