math help

What is 16/48 + 9/12?

What is 16/48 + 9/12?

Let's add

16
48
+
9
12

Step 1

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

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

Multiply 9 by 4, and get 36, then we multiply 12 by 4 and get 48.

9/12 times 4

This gives us a new problem that looks like so:

16
48
+
36
48

Step 2

Since our denominators match, we can add the numerators.

16 + 36 = 52

So what's the answer so far?

52
48

Step 3

Can this fraction be reduced?

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

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

52
48
÷ 2 =
26
24

Now, try the same number again.

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

26
24
÷ 2 =
13
12

Now, try the same number again.

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 16/48 + 9/12

16
48
+
9
12
=
13
12
© 2014 Randy Tayler