math help

What is 34/3 + 1/9?

What is 34/3 + 1/9?

Here's how you add

34
3
+
1
9

Step 1

We have to make sure the denominators are equal.

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

Multiply 34 by 3, and get 102, then we multiply 3 by 3 and get 9.

34/3 times 3

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

102
9
+
1
9

Step 2

Since our denominators match, we can add the numerators.

102 + 1 = 103

That gives us the sum, which is

103
9

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 34/3 + 1/9

34
3
+
1
9
=
103
9
© 2014 Randy Tayler