math help

What is 88/15 - 1/2?

What is 88/15 - 1/2?

Here's how to subtract 1/2 from 88/15:

88
15
1
2

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 2, and get 176.

Then we multiply 1 by 15, and get 15.

Next we give both terms new denominators -- 15 × 2 = 30.

So now our fractions look like this:

176
30
15
30

Step 2

Since our denominators match, we can subtract the numerators.

176 − 15 = 161

So the answer is:

161
30

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...

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

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
1
2
=
161
30