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What is 9/60 - 2/12?

What is 9/60 - 2/12?

Here's how to subtract 2/12 from 9/60:

9
60
2
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 2 by 60, and get 120.

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

So now our fractions look like this:

108
720
120
720

Step 2

Since our denominators match, we can subtract the numerators.

108 − 120 = -12

So the answer is:

-12
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:

-12
720
÷ 2 =
-6
360

Let's try dividing by 2 again...

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

-6
360
÷ 2 =
-3
180

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
180
÷ 3 =
-1
60

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
2
12
=
1
60