math help

What is 9/11 + 1/10?

What is 9/11 + 1/10?

This is how we add

9
11
+
1
10

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 9 by 10, and get 90, then we multiply 11 by 10 and get 110.

9/11 times 10

Now for the second term. You multiply 1 by 11, and get 11, then multiply 11 by 10 and get 110.

1/10 times 11

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

90
110
+
11
110

Step 2

Since our denominators match, we can add the numerators.

90 + 11 = 101

That gives us the sum, which is

101
110

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...

Nope. Try the next prime number, 103...

No good. 103 is larger than 101. So we're done reducing.

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

9
11
+
1
10
=
101
110
© 2014 Randy Tayler