math help

What is 99/7 + 1/12?

What is 99/7 + 1/12?

Here's how to add

99
7
+
1
12

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 12, and get 1188, then we multiply 7 by 12 and get 84.

99/7 times 12

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 12 and get 84.

1/12 times 7

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

1188
84
+
7
84

Step 2

Since our denominators match, we can add the numerators.

1188 + 7 = 1195

That gives us the sum, which is

1195
84

Step 3

Now, do we need to simplify this fraction?

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. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. 89 is larger than 84. So we're done reducing.

And we're done! Here's the final answer to 99/7 + 1/12

99
7
+
1
12
=
1195
84
© 2014 Randy Tayler