math help

What is 100/100 + 4/5?

What is 100/100 + 4/5?

This is how to add

100
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:

100
100
+
80
100

Step 2

Since our denominators match, we can add the numerators.

100 + 80 = 180

That gives us an answer of

180
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:

180
100
÷ 2 =
90
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:

90
50
÷ 2 =
45
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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

45
25
÷ 5 =
9
5

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 7...

No good. 7 is larger than 5. So we're done reducing.

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

100
100
+
4
5
=
9
5
© 2014 Randy Tayler