math help

What is 3/64 + 1/5?

What is 3/64 + 1/5?

This is how we add

3
64
+
1
5

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 3 by 5, and get 15, then we multiply 64 by 5 and get 320.

3/64 times 5

Now for the second term. You multiply 1 by 64, and get 64, then multiply 64 by 5 and get 320.

1/5 times 64

This gives us a new problem that looks like so:

15
320
+
64
320

Step 2

Since our denominators match, we can add the numerators.

15 + 64 = 79

That gives us an answer of

79
320

Step 3

Can this fraction be reduced?

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

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...

No good. 83 is larger than 79. So we're done reducing.

Congratulations! Here's your final answer to 3/64 + 1/5

3
64
+
1
5
=
79
320
© 2014 Randy Tayler