math help

What is 34/3 + 3/9?

What is 34/3 + 3/9?

Here's how to add

34
3
+
3
9

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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
+
3
9

Step 2

Since our denominators match, we can add the numerators.

102 + 3 = 105

That gives us an answer of

105
9

Step 3

Can this fraction be reduced?

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

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

105
9
÷ 3 =
35
3

Now, try the same number again.

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 34/3 + 3/9

34
3
+
3
9
=
35
3
© 2014 Randy Tayler