Step 1

We tho have different denominators (bottom numbers), though, therefore we need to gain a common denominator. This will certainly make the bottom number match. Main point the denominators together first. Now, multiply each molecule by the various other term"s denominator.

You are watching: 7/12 divided by 5/9

Now us multiply 7 through 9, and also get 63, then we multiply 12 by 9 and get 108.

*

Now for the second term. You main point 5 by 12, and get 60, climate multiply 12 through 9 and also get 108.

*

This offers us a new problem that looks favor so:

63
108
+60
108

Step 2

Since our denominators match, us can include the numerators.

63 + 60 = 123

That gives us an answer of

123
108

Step 3

Can this fraction be reduced?

First, we attempt to divide it through 2...

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

Are both the numerator and also the denominator same divisible by 3? Yes! for this reason we alleviate it:

123
108
÷ 3 =41
36

Let"s try dividing by the again...

Nope! So currently we try the next biggest prime number, 5...

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

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

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

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

Nope! So now we try the next biggest prime number, 19...

Nope! So now we shot the next best prime number, 23...

Nope! So currently we shot the next best prime number, 29...

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

Nope! So now we shot the next best prime number, 37...

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No good. 37 is larger than 36. So we"re excellent reducing.

There you have actually it! Here"s the final answer to 7/12 + 5/9
7
12
+5
9
=41
36

© 2014 Randy Tayler
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