math help

What is 16/48 + 1/8?

What is 16/48 + 1/8?

This is how we add

16
48
+
1
8

Step 1

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

48 goes into 8 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 6, and get 6, then we multiply 8 by 6 and get 48.

1/8 times 6

This gives us a new problem that looks like so:

16
48
+
6
48

Step 2

Since our denominators match, we can add the numerators.

16 + 6 = 22

That gives us an answer of

22
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:

22
48
÷ 2 =
11
24

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 11. So we're done reducing.

Congratulations! Here's your final answer to 16/48 + 1/8

16
48
+
1
8
=
11
24
© 2014 Randy Tayler