math help

What is 3/10 + 7/11?

What is 3/10 + 7/11?

This is how we add

3
10
+
7
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 3 by 11, and get 33, then we multiply 10 by 11 and get 110.

3/10 times 11

Now for the second term. You multiply 7 by 10, and get 70, then multiply 10 by 11 and get 110.

7/11 times 10

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

33
110
+
70
110

Step 2

Since our denominators match, we can add the numerators.

33 + 70 = 103

That gives us the sum, which is

103
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...

Nope. Try the next prime number, 107...

No good. 107 is larger than 103. So we're done reducing.

Congratulations! Here's your final answer to 3/10 + 7/11

3
10
+
7
11
=
103
110
© 2014 Randy Tayler