math help

What is 12/1 + 8/12?

What is 12/1 + 8/12?

Here's how you add

12
1
+
8
12

Step 1

Now we need to make our denominators match.

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

This gives us a new problem that looks like so:

144
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

144 + 8 = 152

That gives us an answer of

152
12

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:

152
12
÷ 2 =
76
6

Let's try dividing by that again...

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

76
6
÷ 2 =
38
3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 12/1 + 8/12

12
1
+
8
12
=
38
3
© 2014 Randy Tayler