What is 34/3 + 5/7?

Here's how to add

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 7, and get 238, then we multiply 3 by 7 and get 21.

Now for the second term. You multiply 5 by 3, and get 15, then multiply 3 by 7 and get 21.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

238 + 15 = 253

That gives us an answer of

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...

No good. 23 is larger than 21. So we're done reducing.

Congratulations! Here's your final answer to 34/3 + 5/7