math help

What is 45/3 + 8/12?

What is 45/3 + 8/12?

Here's how you add

45
3
+
8
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 45 by 4, and get 180, then we multiply 3 by 4 and get 12.

45/3 times 4

So now our fractions look like this:

180
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

180 + 8 = 188

Now we have an answer.

188
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...

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

188
12
÷ 2 =
94
6

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

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

94
6
÷ 2 =
47
3

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. 5 is larger than 3. So we're done reducing.

And we're done! Here's the final answer to 45/3 + 8/12

45
3
+
8
12
=
47
3
© 2014 Randy Tayler