math help

What is 99/7 + 4/11?

What is 99/7 + 4/11?

This is how you add

99
7
+
4
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 99 by 11, and get 1089, then we multiply 7 by 11 and get 77.

99/7 times 11

Now for the second term. You multiply 4 by 7, and get 28, then multiply 7 by 11 and get 77.

4/11 times 7

This gives us a new problem that looks like so:

1089
77
+
28
77

Step 2

Since our denominators match, we can add the numerators.

1089 + 28 = 1117

That gives us an answer of

1117
77

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...

No good. 79 is larger than 77. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 4/11

99
7
+
4
11
=
1117
77
© 2014 Randy Tayler