math help

What is 34/3 + 2/6?

What is 34/3 + 2/6?

This is how we add

34
3
+
2
6

Step 1

Now we need to make our denominators match.

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

Multiply 34 by 2, and get 68, then we multiply 3 by 2 and get 6.

34/3 times 2

This gives us a new problem that looks like so:

68
6
+
2
6

Step 2

Since our denominators match, we can add the numerators.

68 + 2 = 70

So what's the answer so far?

70
6

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:

70
6
÷ 2 =
35
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 34/3 + 2/6

34
3
+
2
6
=
35
3
© 2014 Randy Tayler