Step 1

Of course, you can"t include two fountain if the denominators (bottom numbers) don"t match. To acquire a usual denominator, multiply the denominators together. Then we settle the molecule by multiplying every one by their various other term"s denominator.

You are watching: 7/12 divided by 2/9 in simplest form

Now you main point 2 by 12, and get 24, then we multiply 9 by 12 and also get 108.

*

Do the same for the second term. Us multiply 7 by 9, and get 63, then multiply 9 by 12 and get 108.

*

The problem now has brand-new fractions come add:

24
108
+63
108

Step 2

Since our denominators match, us can add the numerators.

24 + 63 = 87

The amount we get is

87
108

Step 3

The last step is to reduce the portion if we can.

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

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

Are both the numerator and also the denominator same divisible by 3? Yes! so we minimize it:

87
108
÷ 3 =29
36

Let"s try dividing by that again...

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

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

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

Nope! So currently 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 best prime number, 19...

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

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

Nope! So now we shot the next greatest prime number, 31...

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No good. 31 is bigger than 29. For this reason we"re excellent reducing.

There you have actually it! Here"s the final answer to 2/9 + 7/12
2
9
+7
12
=29
36

© 2014 Randy Tayler
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