Step 1

We can"t add two fractions with various denominators (the bottom number). So you require to obtain a usual denominator - both bottom numbers must match. To do this, you"ll multiply the denominators times each other... Yet the numerators need to change, too. They get multiplied through the other term"s denominator.

You are watching: 3/4 of 2/3

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

*

Do the very same for the second term. Us multiply 3 by 3, and also get 9, climate multiply 3 by 4 and also get 12.

*

So now our fountain look prefer this:

8
12
+9
12

Step 2

Since our platform match, us can add the numerators.

8 + 9 = 17

Now we have an answer.

17
12

Step 3

Last of all, we have to simplify the fraction, if possible. Can it be reduced to a less complicated fraction?

To discover out, we shot dividing that by 2...

Nope! So now we try the next best prime number, 3...

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

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

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

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

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No good. 13 is bigger than 12. So we"re done reducing.

There you have it! Here"s the final answer come 2/3 + 3/42
3
+3
4
=17
12

© 2014 Randy Tayler
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