math help

What is 6/10 + 10/11?

What is 6/10 + 10/11?

This is how you add

6
10
+
10
11

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 6 by 11, and get 66, then we multiply 10 by 11 and get 110.

6/10 times 11

Now for the second term. You multiply 10 by 10, and get 100, then multiply 10 by 11 and get 110.

10/11 times 10

This gives us a new problem that looks like so:

66
110
+
100
110

Step 2

Since our denominators match, we can add the numerators.

66 + 100 = 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 6/10 + 10/11

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

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