math help

What is 88/15 - 10/12?

What is 88/15 - 10/12?

Here's how to subtract 10/12 from 88/15:

88
15
 −
10
12

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 88 by 12, and get 1056.

Then we multiply 10 by 15, and get 150.

Next we give both terms new denominators -- 15 × 12 = 180.

So now our fractions look like this:

1056
180
 −
150
180

Step 2

Since our denominators match, we can subtract the numerators.

1056 − 150 = 906

So the answer is:

906
180

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

906
180
 ÷ 2 =
453
90

Let's try dividing by 2 again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

453
90
 ÷ 3 =
151
30

Let's try dividing by 3 again...

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

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

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

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

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

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

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

Nope! So now we try the next greatest prime number, 29...

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

No good. 31 is larger than 30. So we're done reducing.

There you have it! The final answer is:
88
15
 −
10
12
 =
151
30

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