math help

What is 3/18 + 7/9?

What is 3/18 + 7/9?

This is how you add

3
18
+
7
9

Step 1

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

18 goes into 9 evenly, so we only need to multiply one term to get a common denominator.

Multiply 7 by 2, and get 14, then we multiply 9 by 2 and get 18.

7/9 times 2

This gives us a new problem that looks like so:

3
18
+
14
18

Step 2

Since our denominators match, we can add the numerators.

3 + 14 = 17

So what's the answer so far?

17
18

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

No good. 19 is larger than 17. So we're done reducing.

Congratulations! Here's your final answer to 3/18 + 7/9

3
18
+
7
9
=
17
18
© 2014 Randy Tayler