math help

What is 64/4 + 9/12?

What is 64/4 + 9/12?

Here's how you add

64
4
+
9
12

Step 1

We have to make sure the denominators are equal.

12 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 64 by 3, and get 192, then we multiply 4 by 3 and get 12.

64/4 times 3

This gives us a new problem that looks like so:

192
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

192 + 9 = 201

That gives us an answer of

201
12

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

201
12
÷ 3 =
67
4

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. 5 is larger than 4. So we're done reducing.

And we're done! Here's the final answer to 64/4 + 9/12

64
4
+
9
12
=
67
4
© 2014 Randy Tayler