math help

What is 34/3 + 10/12?

What is 34/3 + 10/12?

This is how we add

34
3
+
10
12

Step 1

We have to make sure the denominators are equal.

12 goes into 3 evenly, so we only need to multiply 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

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

136
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

136 + 10 = 146

Answer:

146
12

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

146
12
÷ 2 =
73
6

So far so good... let's try to divide by that number again.

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. 7 is larger than 6. So we're done reducing.

And we're done! Here's the final answer to 34/3 + 10/12

34
3
+
10
12
=
73
6
© 2014 Randy Tayler

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