math help

What is 34/3 + 4/9?

What is 34/3 + 4/9?

Let's add

34
3
+
4
9

Step 1

We have to make sure the denominators are equal.

Since 3 is evenly divided by 9, we can multiply just 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

The problem now has new fractions to add:

102
9
+
4
9

Step 2

Since our denominators match, we can add the numerators.

102 + 4 = 106

This yields the answer

106
9

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 + 4/9

34
3
+
4
9
=
106
9
© 2014 Randy Tayler