math help

What is 99/7 + 3/6?

What is 99/7 + 3/6?

This is how we add

99
7
 +
3
6

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

99/7 times 6

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 6 and get 42.

3/6 times 7

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

594
42
 +
21
42

Step 2

Since our denominators match, we can add the numerators.

594 + 21 = 615

Answer:

615
42

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

615
42
 ÷ 3 =
205
14

Now, try the same number again.

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...

No good. 17 is larger than 14. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 3/6

99
7
 +
3
6
 =
205
14
© 2014 Randy Tayler

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