math help

What is 99/7 + 7/11?

What is 99/7 + 7/11?

Here's how you add

99
7
+
7
11

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 99 by 11, and get 1089, then we multiply 7 by 11 and get 77.

99/7 times 11

Do the same for the second term. We multiply 7 by 7, and get 49, then multiply 7 by 11 and get 77.

7/11 times 7

So now our fractions look like this:

1089
77
+
49
77

Step 2

Since our denominators match, we can add the numerators.

1089 + 49 = 1138

Now we have an answer.

1138
77

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope. Try the next prime number, 3...

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...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

No good. 79 is larger than 77. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 7/11

99
7
+
7
11
=
1138
77
© 2014 Randy Tayler