math help

What is 99/7 + 4/5?

What is 99/7 + 4/5?

This is how we add

99
7
+
4
5

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 99 by 5, and get 495, then we multiply 7 by 5 and get 35.

99/7 times 5

Now for the second term. You multiply 4 by 7, and get 28, then multiply 7 by 5 and get 35.

4/5 times 7

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

495
35
+
28
35

Step 2

Since our denominators match, we can add the numerators.

495 + 28 = 523

Answer:

523
35

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...

No good. 37 is larger than 35. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 4/5

99
7
+
4
5
=
523
35
© 2014 Randy Tayler