math help

What is 20/64 + 2/11?

What is 20/64 + 2/11?

This is how to add

20
64
+
2
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 20 by 11, and get 220, then we multiply 64 by 11 and get 704.

20/64 times 11

Now for the second term. You multiply 2 by 64, and get 128, then multiply 64 by 11 and get 704.

2/11 times 64

This gives us a new problem that looks like so:

220
704
+
128
704

Step 2

Since our denominators match, we can add the numerators.

220 + 128 = 348

That gives us an answer of

348
704

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:

348
704
÷ 2 =
174
352

Now, try the same number again.

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

174
352
÷ 2 =
87
176

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...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

No good. 89 is larger than 87. So we're done reducing.

Congratulations! Here's your final answer to 20/64 + 2/11

20
64
+
2
11
=
87
176
© 2014 Randy Tayler