math help

What is 31/12 + 3/6?

What is 31/12 + 3/6?

This is how we add

31
12
 +
3
6

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 3 by 2, and get 6, then we multiply 6 by 2 and get 12.

3/6 times 2

So now our fractions look like this:

31
12
 +
6
12

Step 2

Since our denominators match, we can add the numerators.

31 + 6 = 37

Now we have an answer.

37
12

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...

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 31/12 + 3/6

31
12
 +
3
6
 =
37
12
© 2014 Randy Tayler

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