math help

What is 1/9 + 10/11?

What is 1/9 + 10/11?

This is how we add

1
9
+
10
11

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 1 by 11, and get 11, then we multiply 9 by 11 and get 99.

1/9 times 11

Now for the second term. You multiply 10 by 9, and get 90, then multiply 9 by 11 and get 99.

10/11 times 9

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

11
99
+
90
99

Step 2

Since our denominators match, we can add the numerators.

11 + 90 = 101

That gives us the sum, which is

101
99

Step 3

Now, do we need to simplify this fraction?

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...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

No good. 101 is larger than 99. So we're done reducing.

Congratulations! Here's your final answer to 1/9 + 10/11

1
9
+
10
11
=
101
99
© 2014 Randy Tayler

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10/11 + 9/10
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10/11 - 1/11
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10/11 - 3/12
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10/11 + 5/12
10/11 - 5/12
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10/11 + 8/12
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