math help

What is 99/7 + 3/4?

What is 99/7 + 3/4?

Let's add

99
7
+
3
4

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 4, and get 396, then we multiply 7 by 4 and get 28.

99/7 times 4

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.

3/4 times 7

This gives us a new problem that looks like so:

396
28
+
21
28

Step 2

Since our denominators match, we can add the numerators.

396 + 21 = 417

That gives us an answer of

417
28

Step 3

Can this fraction be reduced?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. 29 is larger than 28. So we're done reducing.

And we're done! Here's the final answer to 99/7 + 3/4

99
7
+
3
4
=
417
28
© 2014 Randy Tayler