math help

What is 16/48 + 4/5?

What is 16/48 + 4/5?

This is how we add

16
48
+
4
5

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 16 by 5, and get 80, then we multiply 48 by 5 and get 240.

16/48 times 5

Now for the second term. You multiply 4 by 48, and get 192, then multiply 48 by 5 and get 240.

4/5 times 48

This gives us a new problem that looks like so:

80
240
+
192
240

Step 2

Since our denominators match, we can add the numerators.

80 + 192 = 272

That gives us an answer of

272
240

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:

272
240
÷ 2 =
136
120

Now, try the same number again.

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

136
120
÷ 2 =
68
60

Now, try the same number again.

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

68
60
÷ 2 =
34
30

Now, try the same number again.

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

34
30
÷ 2 =
17
15

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...

Nope. Try the next prime number, 17...

No good. 17 is larger than 15. So we're done reducing.

Congratulations! Here's your final answer to 16/48 + 4/5

16
48
+
4
5
=
17
15
© 2014 Randy Tayler