math help

What is 34/3 + 6/8?

What is 34/3 + 6/8?

This is how you add

34
3
+
6
8

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 34 by 8, and get 272, then we multiply 3 by 8 and get 24.

34/3 times 8

Now for the second term. You multiply 6 by 3, and get 18, then multiply 3 by 8 and get 24.

6/8 times 3

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

272
24
+
18
24

Step 2

Since our denominators match, we can add the numerators.

272 + 18 = 290

Answer:

290
24

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:

290
24
÷ 2 =
145
12

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...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 34/3 + 6/8

34
3
+
6
8
=
145
12
© 2014 Randy Tayler