math help

What is 99/7 + 3/8?

What is 99/7 + 3/8?

Here's how you add

99
7
+
3
8

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 8, and get 792, then we multiply 7 by 8 and get 56.

99/7 times 8

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 8 and get 56.

3/8 times 7

This gives us a new problem that looks like so:

792
56
+
21
56

Step 2

Since our denominators match, we can add the numerators.

792 + 21 = 813

So what's the answer so far?

813
56

Step 3

Can this fraction be reduced?

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...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

No good. 59 is larger than 56. So we're done reducing.

There you have it! Here's the final answer to 99/7 + 3/8

99
7
+
3
8
=
813
56
© 2014 Randy Tayler