math help

What is 99/7 + 5/6?

What is 99/7 + 5/6?

Here's how you add

99
7
 +
5
6

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 6, and get 594, then we multiply 7 by 6 and get 42.

99/7 times 6

Now for the second term. You multiply 5 by 7, and get 35, then multiply 7 by 6 and get 42.

5/6 times 7

This gives us a new problem that looks like so:

594
42
 +
35
42

Step 2

Since our denominators match, we can add the numerators.

594 + 35 = 629

So what's the answer so far?

629
42

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...

No good. 43 is larger than 42. So we're done reducing.

There you have it! Here's the final answer to 99/7 + 5/6

99
7
 +
5
6
 =
629
42
© 2014 Randy Tayler

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