math help

What is 3/10 + 1/11?

What is 3/10 + 1/11?

Here's how we add

3
10
+
1
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 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 1 by 10, and get 10, then multiply 10 by 11 and get 110.

1/11 times 10

This gives us a new problem that looks like so:

33
110
+
10
110

Step 2

Since our denominators match, we can add the numerators.

33 + 10 = 43

That gives us an answer of

43
110

Step 3

Can this fraction be reduced?

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...

No good. 47 is larger than 43. So we're done reducing.

Congratulations! Here's your final answer to 3/10 + 1/11

3
10
+
1
11
=
43
110
© 2014 Randy Tayler