What is 100/50 + 3/12?

Here's how we 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 100 by 12, and get 1200, then we multiply 50 by 12 and get 600.

Now for the second term. You multiply 3 by 50, and get 150, then multiply 50 by 12 and get 600.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

1200 + 150 = 1350

So what's the answer so far?

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:

Let's try dividing by that again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

Let's try dividing by that again...

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

Let's try dividing by that again...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

Let's try dividing by that again...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 100/50 + 3/12