math help

What is 34/3 + 7/12?

What is 34/3 + 7/12?

Here's how to add

34
3
+
7
12

Step 1

We have to make sure the denominators are equal.

Since 3 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 34 by 4, and get 136, then we multiply 3 by 4 and get 12.

34/3 times 4

So now our fractions look like this:

136
12
+
7
12

Step 2

Since our denominators match, we can add the numerators.

136 + 7 = 143

So the answer is:

143
12

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 34/3 + 7/12

34
3
+
7
12
=
143
12
© 2014 Randy Tayler