math help

What is 3/18 + 8/9?

What is 3/18 + 8/9?

This is how we add

3
18
+
8
9

Step 1

We have to make sure the denominators are equal.

Since 9 is evenly divided by 18, we can multiply just one term to get a common denominator.

Multiply 8 by 2, and get 16, then we multiply 9 by 2 and get 18.

8/9 times 2

The problem now has new fractions to add:

3
18
+
16
18

Step 2

Since our denominators match, we can add the numerators.

3 + 16 = 19

The sum we get is

19
18

Step 3

The last step is to reduce the fraction if we can.

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. 19 is larger than 18. So we're done reducing.

And we're done! Here's the final answer to 3/18 + 8/9

3
18
+
8
9
=
19
18
© 2014 Randy Tayler