math help

What is 34/3 + 7/9?

What is 34/3 + 7/9?

Here's how we add

34
3
+
7
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

This gives us a new problem that looks like so:

102
9
+
7
9

Step 2

Since our denominators match, we can add the numerators.

102 + 7 = 109

So what's the answer so far?

109
9

Step 3

Can this fraction be reduced?

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 + 7/9

34
3
+
7
9
=
109
9
© 2014 Randy Tayler