math help

What is 32/1 + 6/12?

What is 32/1 + 6/12?

This is how you add

32
1
+
6
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 32 by 12, and get 384, then we multiply 1 by 12 and get 12.

32/1 times 12

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

384
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

384 + 6 = 390

Answer:

390
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:

390
12
÷ 2 =
195
6

Let's try dividing by that again...

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

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

195
6
÷ 3 =
65
2

Let's try dividing by that again...

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

There you have it! Here's the final answer to 32/1 + 6/12

32
1
+
6
12
=
65
2
© 2014 Randy Tayler