math help

What is 64/16 + 5/12?

What is 64/16 + 5/12?

This is how to add

64
16
+
5
12

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 12, and get 768, then we multiply 16 by 12 and get 192.

64/16 times 12

Now for the second term. You multiply 5 by 16, and get 80, then multiply 16 by 12 and get 192.

5/12 times 16

This gives us a new problem that looks like so:

768
192
+
80
192

Step 2

Since our denominators match, we can add the numerators.

768 + 80 = 848

That gives us an answer of

848
192

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:

848
192
÷ 2 =
424
96

Now, try the same number again.

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

424
96
÷ 2 =
212
48

Now, try the same number again.

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

212
48
÷ 2 =
106
24

Now, try the same number again.

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

106
24
÷ 2 =
53
12

Now, try the same number again.

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 64/16 + 5/12

64
16
+
5
12
=
53
12
© 2014 Randy Tayler