math help

What is 3/20 + 1/4?

What is 3/20 + 1/4?

Here's how to add

3
20
+
1
4

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 4 is evenly divided by 20, we can multiply just one term to get a common denominator.

Multiply 1 by 5, and get 5, then we multiply 4 by 5 and get 20.

1/4 times 5

So now our fractions look like this:

3
20
+
5
20

Step 2

Since our denominators match, we can add the numerators.

3 + 5 = 8

Now we have an answer.

8
20

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

8
20
÷ 2 =
4
10

Now, try the same number again.

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

4
10
÷ 2 =
2
5

Now, try the same number again.

Nope. Try the next prime number, 3...

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 3/20 + 1/4

3
20
+
1
4
=
2
5
© 2014 Randy Tayler