math help

What is 64/4 + 2/3?

What is 64/4 + 2/3?

This is how we add

64
4
+
2
3

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

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

64/4 times 3

Now for the second term. You multiply 2 by 4, and get 8, then multiply 4 by 3 and get 12.

2/3 times 4

This gives us a new problem that looks like so:

192
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

192 + 8 = 200

That gives us an answer of

200
12

Step 3

Can this fraction be reduced?

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

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

200
12
÷ 2 =
100
6

Now, try the same number again.

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

100
6
÷ 2 =
50
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 64/4 + 2/3

64
4
+
2
3
=
50
3
© 2014 Randy Tayler