math help

What is 31/12 - 1/12?

What is 31/12 - 1/12?

Here's how to subtract 1/12 from 31/12:

31
12
1
12

Step 1

Since our denominators match, we can subtract the numerators.

31 − 1 = 30

So the answer is:

30
12

Step 2

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:

30
12
÷ 2 =
15
6

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:

15
6
÷ 3 =
5
2

Let's try dividing by 3 again...

No good. 3 is larger than 2. So we're done reducing.

There you have it! The final answer is:
31
12
1
12
=
5
2