math help

What is 99/7 + 2/3?

What is 99/7 + 2/3?

This is how to add

99
7
+
2
3

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 3, and get 297, then we multiply 7 by 3 and get 21.

99/7 times 3

Now for the second term. You multiply 2 by 7, and get 14, then multiply 7 by 3 and get 21.

2/3 times 7

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

297
21
+
14
21

Step 2

Since our denominators match, we can add the numerators.

297 + 14 = 311

That gives us the sum, which is

311
21

Step 3

Now, do we need to simplify this fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 21. So we're done reducing.

There you have it! Here's the final answer to 99/7 + 2/3

99
7
+
2
3
=
311
21
© 2014 Randy Tayler