## Step 1

Of course, you can not add 2 fractions if the denominators (bottom numbers) don"t match. To gain a widespread denominator, multiply the denominators together. Then we solve the numerators by multiplying each one by their various other term"s denominator.

You are watching: What is 2/3 of 4/5

Now you multiply 2 by 5, and gain 10, then we multiply 3 by 5 and get 15.

Do the very same for the second term. We multiply 4 by 3, and also obtain 12, then multiply 3 by 5 and also gain 15.

The difficulty currently has brand-new fractions to add:

10
 15
+12
15

## Step 2

Since our denominators complement, we can include the numerators.

10 + 12 = 22

The amount we obtain is

22
 15

## Step 3

The last action is to alleviate the fraction if we have the right to.

To discover out, we attempt splitting it by 2...

No excellent. So next you attempt the next prime number, which is 3...

No good. So following you attempt the following prime number, which is 5...

No great. So next you try the following prime number, which is 7...

No excellent. So next you try the following prime number, which is 11...

No good. So next you attempt the next prime number, which is 13...

No excellent. So following you attempt the following prime number, which is 17...

See more: Of Course Anyone Who Has Ever Perused, Gre Text Completion Question 919

No good. 17 is bigger than 15. So we"re done reducing.

And we"re done! Here"s the final answer to 2/3 + 4/52
 3
+4
5
=22
15

4/5 + 1/2
4/5 - 1/2
4/5 + 1/3
4/5 - 1/3
4/5 + 2/3
4/5 - 2/3
4/5 + 1/4
4/5 - 1/4
4/5 + 2/4
4/5 - 2/4
4/5 + 3/4
4/5 - 3/4
4/5 + 1/5
4/5 - 1/5
4/5 + 2/5
4/5 - 2/5
4/5 + 3/5
4/5 - 3/5
4/5 + 4/5
4/5 - 4/5
4/5 + 1/6
4/5 - 1/6
4/5 + 2/6
4/5 - 2/6
4/5 + 3/6
4/5 - 3/6
4/5 + 4/6
4/5 - 4/6
4/5 + 5/6
4/5 - 5/6
4/5 + 1/7
4/5 - 1/7
4/5 + 2/7
4/5 - 2/7
4/5 + 3/7
4/5 - 3/7
4/5 + 4/7
4/5 - 4/7
4/5 + 5/7
4/5 - 5/7
4/5 + 6/7
4/5 - 6/7
4/5 + 1/8
4/5 - 1/8
4/5 + 2/8
4/5 - 2/8
4/5 + 3/8
4/5 - 3/8
4/5 + 4/8
4/5 - 4/8
4/5 + 5/8
4/5 - 5/8
4/5 + 6/8
4/5 - 6/8
4/5 + 7/8
4/5 - 7/8
4/5 + 1/9
4/5 - 1/9
4/5 + 2/9
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4/5 + 3/9
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4/5 + 4/9
4/5 - 4/9
4/5 + 5/9
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4/5 + 1/10
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4/5 + 2/10
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4/5 + 3/10
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4/5 + 4/10
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4/5 - 9/10
4/5 + 1/11
4/5 - 1/11
4/5 + 2/11
4/5 - 2/11
4/5 + 3/11
4/5 - 3/11
4/5 + 4/11
4/5 - 4/11
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4/5 - 5/11
4/5 + 6/11
4/5 - 6/11
4/5 + 7/11
4/5 - 7/11
4/5 + 8/11
4/5 - 8/11
4/5 + 9/11
4/5 - 9/11
4/5 + 10/11
4/5 - 10/11
4/5 + 1/12
4/5 - 1/12
4/5 + 2/12
4/5 - 2/12
4/5 + 3/12
4/5 - 3/12
4/5 + 4/12
4/5 - 4/12
4/5 + 5/12
4/5 - 5/12
4/5 + 6/12
4/5 - 6/12
4/5 + 7/12
4/5 - 7/12
4/5 + 8/12
4/5 - 8/12
4/5 + 9/12
4/5 - 9/12
4/5 + 10/12
4/5 - 10/12
4/5 + 11/12
4/5 - 11/12