math help

What is 10/3 + 4/9?

What is 10/3 + 4/9?

Here's how you add

10
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 10 by 3, and get 30, then we multiply 3 by 3 and get 9.

10/3 times 3

The problem now has new fractions to add:

30
9
+
4
9

Step 2

Since our denominators match, we can add the numerators.

30 + 4 = 34

This yields the answer

34
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 10/3 + 4/9

10
3
+
4
9
=
34
9
© 2014 Randy Tayler