math help

What is 31/12 - 7/12?

What is 31/12 - 7/12?

Here's how to subtract 7/12 from 31/12:

31
12
7
12

Step 1

Since our denominators match, we can subtract the numerators.

31 − 7 = 24

So the answer is:

24
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:

24
12
÷ 2 =
12
6

Let's try dividing by 2 again...

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

12
6
÷ 2 =
6
3

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:

6
3
÷ 3 =
2
1

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
7
12
= = 2