math help

What is 34/3 + 8/12?

What is 34/3 + 8/12?

Let's add

34
3
+
8
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

This gives us a new problem that looks like so:

136
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

136 + 8 = 144

That gives us an answer of

144
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:

144
12
÷ 2 =
72
6

Let's try dividing by that again...

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

72
6
÷ 2 =
36
3

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:

36
3
÷ 3 =
12
1

Let's try dividing by that again...

No good. 3 is larger than 1. So we're done reducing.

There you have it! Here's the final answer to 34/3 + 8/12

34
3
+
8
12
=
12
1
= 12
© 2014 Randy Tayler