math help

What is 12/1 + 6/12?

What is 12/1 + 6/12?

This is how we add

12
1
+
6
12

Step 1

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

12 goes into 1 evenly, so we only need to multiply one term to get a common denominator.

Multiply 12 by 12, and get 144, then we multiply 1 by 12 and get 12.

12/1 times 12

We now have a new problem, that looks like this:

144
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

144 + 6 = 150

That gives us the sum, which is

150
12

Step 3

Now, do we need to simplify this fraction?

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

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

150
12
÷ 2 =
75
6

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:

75
6
÷ 3 =
25
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 12/1 + 6/12

12
1
+
6
12
=
25
2
© 2014 Randy Tayler