math help

What is 10/11 + 6/10?

What is 10/11 + 6/10?

This is how you add

10
11
 +
6
10

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 10 by 10, and get 100, then we multiply 11 by 10 and get 110.

10/11 times 10

Now for the second term. You multiply 6 by 11, and get 66, then multiply 11 by 10 and get 110.

6/10 times 11

This gives us a new problem that looks like so:

100
110
 +
66
110

Step 2

Since our denominators match, we can add the numerators.

100 + 66 = 166

So what's the answer so far?

166
110

Step 3

Can this fraction be reduced?

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

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

166
110
 ÷ 2 =
83
55

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...

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

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

No good. 59 is larger than 55. So we're done reducing.

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

10
11
 +
6
10
 =
83
55
© 2014 Randy Tayler

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