math help

What is 45/4 + 10/12?

What is 45/4 + 10/12?

Let's add

45
4
 +
10
12

Step 1

We have to make sure the denominators are equal.

12 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 45 by 3, and get 135, then we multiply 4 by 3 and get 12.

45/4 times 3

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

135
12
 +
10
12

Step 2

Since our denominators match, we can add the numerators.

135 + 10 = 145

That gives us the sum, which is

145
12

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. 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 45/4 + 10/12

45
4
 +
10
12
 =
145
12
© 2014 Randy Tayler

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