math help

What is 34/3 + 1/11?

What is 34/3 + 1/11?

Here's how to add

34
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 34 by 11, and get 374, then we multiply 3 by 11 and get 33.

34/3 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:

374
33
+
3
33

Step 2

Since our denominators match, we can add the numerators.

374 + 3 = 377

That gives us an answer of

377
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 34/3 + 1/11

34
3
+
1
11
=
377
33
© 2014 Randy Tayler