## Step 1

We can"t include two fountain with various denominators (the bottom number). So you need to gain a common denominator - both bottom numbers have to match. To perform this, you"ll multiply the denominators times each other... However the numerators have to change, too. They gain multiplied by the *other* term"s denominator.

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

So we multiply 2 by 4, and also get 8, then us multiply 3 by 4 and get 12.

Do the exact same for the 2nd term. We multiply 3 by 3, and get 9, then multiply 3 through 4 and also get 12.

So currently our fractions look like this:

812 |

12 |

## Step 2

Since our denominators match, us can include the numerators.

8 + 9 = 17

Now we have an answer.

1712 |

## Step 3

Last that all, we have to simplify the fraction, if possible. Deserve to it be decreased to a easier fraction?

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

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

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

Nope! So now we shot the next best prime number, 7...

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

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

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No good. 13 is larger than 12. For this reason we"re done reducing.

There you have actually it! Here"s the last answer come 2/3 + 3/423 |

4 |

12 |

© 2014 Randy Tayler

3/4 + 1/2

3/4 - 1/2

3/4 + 1/3

3/4 - 1/3

3/4 + 2/3

3/4 - 2/3

3/4 + 1/4

3/4 - 1/4

3/4 + 2/4

3/4 - 2/4

3/4 + 3/4

3/4 - 3/4

3/4 + 1/5

3/4 - 1/5

3/4 + 2/5

3/4 - 2/5

3/4 + 3/5

3/4 - 3/5

3/4 + 4/5

3/4 - 4/5

3/4 + 1/6

3/4 - 1/6

3/4 + 2/6

3/4 - 2/6

3/4 + 3/6

3/4 - 3/6

3/4 + 4/6

3/4 - 4/6

3/4 + 5/6

3/4 - 5/6

3/4 + 1/7

3/4 - 1/7

3/4 + 2/7

3/4 - 2/7

3/4 + 3/7

3/4 - 3/7

3/4 + 4/7

3/4 - 4/7

3/4 + 5/7

3/4 - 5/7

3/4 + 6/7

3/4 - 6/7

3/4 + 1/8

3/4 - 1/8

3/4 + 2/8

3/4 - 2/8

3/4 + 3/8

3/4 - 3/8

3/4 + 4/8

3/4 - 4/8

3/4 + 5/8

3/4 - 5/8

3/4 + 6/8

3/4 - 6/8

3/4 + 7/8

3/4 - 7/8

3/4 + 1/9

3/4 - 1/9

3/4 + 2/9

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3/4 - 3/9

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3/4 - 4/9

3/4 + 5/9

3/4 - 5/9

3/4 + 6/9

3/4 - 6/9

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3/4 - 7/9

3/4 + 8/9

3/4 - 8/9

3/4 + 1/10

3/4 - 1/10

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3/4 - 2/10

3/4 + 3/10

3/4 - 3/10

3/4 + 4/10

3/4 - 4/10

3/4 + 5/10

3/4 - 5/10

3/4 + 6/10

3/4 - 6/10

3/4 + 7/10

3/4 - 7/10

3/4 + 8/10

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3/4 + 9/10

3/4 - 9/10

3/4 + 1/11

3/4 - 1/11

3/4 + 2/11

3/4 - 2/11

3/4 + 3/11

3/4 - 3/11

3/4 + 4/11

3/4 - 4/11

3/4 + 5/11

3/4 - 5/11

3/4 + 6/11

3/4 - 6/11

3/4 + 7/11

3/4 - 7/11

3/4 + 8/11

3/4 - 8/11

3/4 + 9/11

3/4 - 9/11

3/4 + 10/11

3/4 - 10/11

3/4 + 1/12

3/4 - 1/12

3/4 + 2/12

3/4 - 2/12

3/4 + 3/12

3/4 - 3/12

3/4 + 4/12

3/4 - 4/12

3/4 + 5/12

3/4 - 5/12

3/4 + 6/12

3/4 - 6/12

3/4 + 7/12

3/4 - 7/12

3/4 + 8/12

3/4 - 8/12

3/4 + 9/12

3/4 - 9/12

3/4 + 10/12

3/4 - 10/12

3/4 + 11/12

3/4 - 11/12