math help

What is 64/4 + 5/6?

What is 64/4 + 5/6?

This is how you add

64
4
+
5
6

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 64 by 6, and get 384, then we multiply 4 by 6 and get 24.

64/4 times 6

Now for the second term. You multiply 5 by 4, and get 20, then multiply 4 by 6 and get 24.

5/6 times 4

We now have a new problem, that looks like this:

384
24
+
20
24

Step 2

Since our denominators match, we can add the numerators.

384 + 20 = 404

That gives us the sum, which is

404
24

Step 3

Now, do we need to simplify this fraction?

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

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

404
24
÷ 2 =
202
12

Now, try the same number again.

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

202
12
÷ 2 =
101
6

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...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 64/4 + 5/6

64
4
+
5
6
=
101
6
© 2014 Randy Tayler