math help

What is 45/3 + 9/12?

What is 45/3 + 9/12?

This is how to add

45
3
+
9
12

Step 1

Now we need to make our denominators match.

12 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 45 by 4, and get 180, then we multiply 3 by 4 and get 12.

45/3 times 4

This gives us a new problem that looks like so:

180
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

180 + 9 = 189

So what's the answer so far?

189
12

Step 3

Can this fraction be reduced?

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

Nope! So now we try the next greatest prime number, 3...

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

189
12
÷ 3 =
63
4

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 45/3 + 9/12

45
3
+
9
12
=
63
4
© 2014 Randy Tayler