math help

What is 10/3 + 1/9?

What is 10/3 + 1/9?

This is how you add

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

10/3 times 3

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

30
9
+
1
9

Step 2

Since our denominators match, we can add the numerators.

30 + 1 = 31

That gives us the sum, which is

31
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 10/3 + 1/9

10
3
+
1
9
=
31
9
© 2014 Randy Tayler