math help

What is 31/12 + 9/12?

What is 31/12 + 9/12?

Let's add

31
12
 +
9
12

Step 1

Since our denominators match, we can add the numerators.

31 + 9 = 40

So the answer is:

40
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:

40
12
 ÷ 2 =
20
6

Now, try the same number again.

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

20
6
 ÷ 2 =
10
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 31/12 + 9/12

31
12
 +
9
12
 =
10
3
© 2014 Randy Tayler

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