What is 36/4 + 2/9?

This is how you 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 36 by 9, and get 324, then we multiply 4 by 9 and get 36.

Now for the second term. You multiply 2 by 4, and get 8, then multiply 4 by 9 and get 36.

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

Step 2

Since our denominators match, we can add the numerators.

324 + 8 = 332

Answer:

Step 3

Now, do we need to simplify this fraction?

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

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

Let's try dividing by that again...

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

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 9. So we're done reducing.

There you have it! Here's the final answer to 36/4 + 2/9