math help

What is 9/60 - 1/12?

What is 9/60 - 1/12?

Here's how to subtract 1/12 from 9/60:

9
60
1
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 9 by 12, and get 108.

Then we multiply 1 by 60, and get 60.

Next we give both terms new denominators -- 60 × 12 = 720.

So now our fractions look like this:

108
720
60
720

Step 2

Since our denominators match, we can subtract the numerators.

108 − 60 = 48

So the answer is:

48
720

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:

48
720
÷ 2 =
24
360

Let's try dividing by 2 again...

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

24
360
÷ 2 =
12
180

Let's try dividing by 2 again...

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

12
180
÷ 2 =
6
90

Let's try dividing by 2 again...

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

6
90
÷ 2 =
3
45

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:

3
45
÷ 3 =
1
15

Let's try dividing by 3 again...

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:
9
60
1
12
=
1
15