What is 36/4 + 2/7?

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 36 by 7, and get 252, then we multiply 4 by 7 and get 28.

Now for the second term. You multiply 2 by 4, and get 8, then multiply 4 by 7 and get 28.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

252 + 8 = 260

That gives us an answer of

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

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...

No good. 11 is larger than 7. So we're done reducing.

Congratulations! Here's your final answer to 36/4 + 2/7