math help

What is 91/6 + 4/11?

What is 91/6 + 4/11?

Here's how to add

91
6
+
4
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 91 by 11, and get 1001, then we multiply 6 by 11 and get 66.

91/6 times 11

Do the same for the second term. We multiply 4 by 6, and get 24, then multiply 6 by 11 and get 66.

4/11 times 6

So now our fractions look like this:

1001
66
+
24
66

Step 2

Since our denominators match, we can add the numerators.

1001 + 24 = 1025

So the answer is:

1025
66

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...

No good. 67 is larger than 66. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 4/11

91
6
+
4
11
=
1025
66
© 2014 Randy Tayler