math help

What is 3/64 + 1/11?

What is 3/64 + 1/11?

This is how you add

3
64
+
1
11

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 3 by 11, and get 33, then we multiply 64 by 11 and get 704.

3/64 times 11

Now for the second term. You multiply 1 by 64, and get 64, then multiply 64 by 11 and get 704.

1/11 times 64

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

33
704
+
64
704

Step 2

Since our denominators match, we can add the numerators.

33 + 64 = 97

That gives us the sum, which is

97
704

Step 3

Now, do we need to simplify this fraction?

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...

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

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

No good. 101 is larger than 97. So we're done reducing.

Congratulations! Here's your final answer to 3/64 + 1/11

3
64
+
1
11
=
97
704
© 2014 Randy Tayler