math help

What is 16/48 + 1/2?

What is 16/48 + 1/2?

Here's how we add

16
48
+
1
2

Step 1

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

48 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 24, and get 24, then we multiply 2 by 24 and get 48.

1/2 times 24

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

16
48
+
24
48

Step 2

Since our denominators match, we can add the numerators.

16 + 24 = 40

Answer:

40
48

Step 3

Now, do we need to simplify this fraction?

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

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

40
48
÷ 2 =
20
24

Now, try the same number again.

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

20
24
÷ 2 =
10
12

Now, try the same number again.

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

10
12
÷ 2 =
5
6

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...

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 16/48 + 1/2

16
48
+
1
2
=
5
6
© 2014 Randy Tayler