math help

What is 3/18 + 1/6?

What is 3/18 + 1/6?

Here's how to add

3
18
+
1
6

Step 1

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

Since 6 is evenly divided by 18, we can multiply just one term to get a common denominator.

Multiply 1 by 3, and get 3, then we multiply 6 by 3 and get 18.

1/6 times 3

So now our fractions look like this:

3
18
+
3
18

Step 2

Since our denominators match, we can add the numerators.

3 + 3 = 6

Now we have an answer.

6
18

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:

6
18
÷ 2 =
3
9

Now, try the same number again.

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

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

3
9
÷ 3 =
1
3

Now, try the same number again.

No good. 3 is larger than 1. So we're done reducing.

Congratulations! Here's your final answer to 3/18 + 1/6

3
18
+
1
6
=
1
3
© 2014 Randy Tayler