math help

What is 34/3 + 2/12?

What is 34/3 + 2/12?

This is how you add

34
3
+
2
12

Step 1

Now we need to make our denominators match.

12 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 34 by 4, and get 136, then we multiply 3 by 4 and get 12.

34/3 times 4

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

136
12
+
2
12

Step 2

Since our denominators match, we can add the numerators.

136 + 2 = 138

Answer:

138
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:

138
12
÷ 2 =
69
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:

69
6
÷ 3 =
23
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 34/3 + 2/12

34
3
+
2
12
=
23
2
© 2014 Randy Tayler