math help

What is 64/16 + 6/11?

What is 64/16 + 6/11?

This is how to add

64
16
+
6
11

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 11, and get 704, then we multiply 16 by 11 and get 176.

64/16 times 11

Now for the second term. You multiply 6 by 16, and get 96, then multiply 16 by 11 and get 176.

6/11 times 16

This gives us a new problem that looks like so:

704
176
+
96
176

Step 2

Since our denominators match, we can add the numerators.

704 + 96 = 800

That gives us an answer of

800
176

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:

800
176
÷ 2 =
400
88

Now, try the same number again.

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

400
88
÷ 2 =
200
44

Now, try the same number again.

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

200
44
÷ 2 =
100
22

Now, try the same number again.

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

100
22
÷ 2 =
50
11

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 11. So we're done reducing.

Congratulations! Here's your final answer to 64/16 + 6/11

64
16
+
6
11
=
50
11
© 2014 Randy Tayler