math help

What is 10/3 + 1/11?

What is 10/3 + 1/11?

Here's how we add

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

10/3 times 11

Now for the second term. You multiply 1 by 3, and get 3, then multiply 3 by 11 and get 33.

1/11 times 3

This gives us a new problem that looks like so:

110
33
+
3
33

Step 2

Since our denominators match, we can add the numerators.

110 + 3 = 113

That gives us an answer of

113
33

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...

No good. 37 is larger than 33. So we're done reducing.

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

10
3
+
1
11
=
113
33
© 2014 Randy Tayler