math help

What is 99/7 + 11/12?

What is 99/7 + 11/12?

This is how we add

99
7
 +
11
12

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

99/7 times 12

Now for the second term. You multiply 11 by 7, and get 77, then multiply 7 by 12 and get 84.

11/12 times 7

This gives us a new problem that looks like so:

1188
84
 +
77
84

Step 2

Since our denominators match, we can add the numerators.

1188 + 77 = 1265

That gives us an answer of

1265
84

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...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

Nope! So now we try the next greatest prime number, 83...

Nope! So now we try the next greatest prime number, 89...

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

There you have it! Here's the final answer to 99/7 + 11/12

99
7
 +
11
12
 =
1265
84
© 2014 Randy Tayler

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