math help

What is 28/100 + 4/5?

What is 28/100 + 4/5?

Here's how we add

28
100
+
4
5

Step 1

We have to make sure the denominators are equal.

100 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 4 by 20, and get 80, then we multiply 5 by 20 and get 100.

4/5 times 20

This gives us a new problem that looks like so:

28
100
+
80
100

Step 2

Since our denominators match, we can add the numerators.

28 + 80 = 108

That gives us an answer of

108
100

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:

108
100
÷ 2 =
54
50

So far so good... let's try to divide by that number again.

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

54
50
÷ 2 =
27
25

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. 29 is larger than 27. So we're done reducing.

And we're done! Here's the final answer to 28/100 + 4/5

28
100
+
4
5
=
27
25
© 2014 Randy Tayler