math help

What is 16/48 + 4/8?

What is 16/48 + 4/8?

This is how to add

16
48
+
4
8

Step 1

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

Since 8 is evenly divided by 48, we can multiply just one term to get a common denominator.

Multiply 4 by 6, and get 24, then we multiply 8 by 6 and get 48.

4/8 times 6

So now our fractions look like this:

16
48
+
24
48

Step 2

Since our denominators match, we can add the numerators.

16 + 24 = 40

Now we have an answer.

40
48

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:

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 + 4/8

16
48
+
4
8
=
5
6
© 2014 Randy Tayler