math help

What is 10/6 + 9/12?

What is 10/6 + 9/12?

This is how you add

10
6
+
9
12

Step 1

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

12 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 10 by 2, and get 20, then we multiply 6 by 2 and get 12.

10/6 times 2

This gives us a new problem that looks like so:

20
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

20 + 9 = 29

So what's the answer so far?

29
12

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...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 10/6 + 9/12

10
6
+
9
12
=
29
12
© 2014 Randy Tayler