math help

What is 16/48 + 3/6?

What is 16/48 + 3/6?

This is how we add

16
48
+
3
6

Step 1

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

48 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 8, and get 24, then we multiply 6 by 8 and get 48.

3/6 times 8

This gives us a new problem that looks like so:

16
48
+
24
48

Step 2

Since our denominators match, we can add the numerators.

16 + 24 = 40

That gives us an answer of

40
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:

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 + 3/6

16
48
+
3
6
=
5
6
© 2014 Randy Tayler