math help

What is 6/88 + 10/11?

What is 6/88 + 10/11?

This is how we add

6
88
+
10
11

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

88 goes into 11 evenly, so we only need to multiply one term to get a common denominator.

Multiply 10 by 8, and get 80, then we multiply 11 by 8 and get 88.

10/11 times 8

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

6
88
+
80
88

Step 2

Since our denominators match, we can add the numerators.

6 + 80 = 86

Answer:

86
88

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

86
88
÷ 2 =
43
44

Now, try the same number again.

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...

No good. 47 is larger than 43. So we're done reducing.

Congratulations! Here's your final answer to 6/88 + 10/11

6
88
+
10
11
=
43
44
© 2014 Randy Tayler

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