math help

What is 34/3 + 1/6?

What is 34/3 + 1/6?

This is how you add

34
3
+
1
6

Step 1

We have to make sure the denominators are equal.

Since 3 is evenly divided by 6, we can multiply just 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

So now our fractions look like this:

68
6
+
1
6

Step 2

Since our denominators match, we can add the numerators.

68 + 1 = 69

Now we have an answer.

69
6

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

No good. So next you try the next prime number, which is 3...

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

69
6
÷ 3 =
23
2

So far so good... let's try to divide by that number again.

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

And we're done! Here's the final answer to 34/3 + 1/6

34
3
+
1
6
=
23
2
© 2014 Randy Tayler