math help

What is 34/3 + 7/11?

What is 34/3 + 7/11?

This is how to add

34
3
+
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 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 7 by 3, and get 21, then multiply 3 by 11 and get 33.

7/11 times 3

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

374
33
+
21
33

Step 2

Since our denominators match, we can add the numerators.

374 + 21 = 395

That gives us the sum, which is

395
33

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...

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

Congratulations! Here's your final answer to 34/3 + 7/11

34
3
+
7
11
=
395
33
© 2014 Randy Tayler