math help

What is 45/3 + 4/12?

What is 45/3 + 4/12?

Let's add

45
3
+
4
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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
+
4
12

Step 2

Since our denominators match, we can add the numerators.

180 + 4 = 184

So the answer is:

184
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:

184
12
÷ 2 =
92
6

Now, try the same number again.

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

92
6
÷ 2 =
46
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 45/3 + 4/12

45
3
+
4
12
=
46
3
© 2014 Randy Tayler