math help

What is 6/9 + 10/12?

What is 6/9 + 10/12?

This is how you add

6
9
+
10
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 6 by 12, and get 72, then we multiply 9 by 12 and get 108.

6/9 times 12

Now for the second term. You multiply 10 by 9, and get 90, then multiply 9 by 12 and get 108.

10/12 times 9

This gives us a new problem that looks like so:

72
108
+
90
108

Step 2

Since our denominators match, we can add the numerators.

72 + 90 = 162

So what's the answer so far?

162
108

Step 3

Can this fraction be reduced?

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

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

162
108
÷ 2 =
81
54

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:

81
54
÷ 3 =
27
18

Now, try the same number again.

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

27
18
÷ 3 =
9
6

Now, try the same number again.

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

9
6
÷ 3 =
3
2

Now, try the same number again.

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

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

6
9
+
10
12
=
3
2
© 2014 Randy Tayler