What is 2/4 + 3/10?

Here's 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 2 by 10, and get 20, then we multiply 4 by 10 and get 40.

Now for the second term. You multiply 3 by 4, and get 12, then multiply 4 by 10 and get 40.

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

Step 2

Since our denominators match, we can add the numerators.

20 + 12 = 32

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:

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.

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...

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

Congratulations! Here's your final answer to 2/4 + 3/10