math help

What is 53/9 + 6/11?

What is 53/9 + 6/11?

This is how you add

53
9
+
6
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 53 by 11, and get 583, then we multiply 9 by 11 and get 99.

53/9 times 11

Now for the second term. You multiply 6 by 9, and get 54, then multiply 9 by 11 and get 99.

6/11 times 9

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

583
99
+
54
99

Step 2

Since our denominators match, we can add the numerators.

583 + 54 = 637

That gives us the sum, which is

637
99

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 99. So we're done reducing.

Congratulations! Here's your final answer to 53/9 + 6/11

53
9
+
6
11
=
637
99
© 2014 Randy Tayler