What is 34/3 + 1/5?

Let's add

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 5, and get 170, then we multiply 3 by 5 and get 15.

Now for the second term. You multiply 1 by 3, and get 3, then multiply 3 by 5 and get 15.

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

Step 2

Since our denominators match, we can add the numerators.

170 + 3 = 173

Answer:

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...

No good. 17 is larger than 15. So we're done reducing.

Congratulations! Here's your final answer to 34/3 + 1/5