## Step 1

Of course, you can"t include two fountain if the platform (bottom numbers) don"t match. To obtain a usual denominator, main point the platform together. Then we deal with the numerators by multiplying each one through their other term"s denominator.

You are watching: What is 2/3 of 10

Now you multiply 2 by 10, and get 20, then we multiply 3 by 10 and get 30.

Do the exact same for the second term. Us multiply 3 by 3, and get 9, then multiply 3 by 10 and get 30.

The trouble now has new fractions come add:

20
 30
+9
30

## Step 2

Since our platform match, we can include the numerators.

20 + 9 = 29

29
 30

## Step 3

The last action is to alleviate the fraction if we can.

To uncover out, we try dividing it by 2...

Nope! So currently we shot the next biggest prime number, 3...

Nope! So now we shot the next biggest prime number, 5...

Nope! So currently we try the next greatest prime number, 7...

Nope! So currently we shot the next greatest prime number, 11...

Nope! So now we shot the next greatest prime number, 13...

Nope! So now we shot the next biggest prime number, 17...

Nope! So currently we shot the next greatest prime number, 19...

Nope! So currently we shot the next greatest prime number, 23...

Nope! So now we shot the next biggest prime number, 29...

Nope! So currently we shot the next best prime number, 31...

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No good. 31 is bigger than 29. So we"re done reducing.

There you have it! Here"s the final answer to 2/3 + 3/102
 3
+3
10
=29
30

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