math help

What is 15/11 + 5/6?

What is 15/11 + 5/6?

This is how you add

15
11
 +
5
6

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 15 by 6, and get 90, then we multiply 11 by 6 and get 66.

15/11 times 6

Now for the second term. You multiply 5 by 11, and get 55, then multiply 11 by 6 and get 66.

5/6 times 11

This gives us a new problem that looks like so:

90
66
 +
55
66

Step 2

Since our denominators match, we can add the numerators.

90 + 55 = 145

So what's the answer so far?

145
66

Step 3

Can this fraction be reduced?

First, we attempt to divide 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 15/11 + 5/6

15
11
 +
5
6
 =
145
66
© 2014 Randy Tayler

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