math help

What is 100/100 + 8/10?

What is 100/100 + 8/10?

Let's add

100
100
+
8
10

Step 1

We have to make sure the denominators are equal.

Since 10 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 8 by 10, and get 80, then we multiply 10 by 10 and get 100.

8/10 times 10

The problem now has new fractions to add:

100
100
+
80
100

Step 2

Since our denominators match, we can add the numerators.

100 + 80 = 180

This yields the answer

180
100

Step 3

The last step is to reduce the fraction if we can.

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:

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 + 8/10

100
100
+
8
10
=
9
5
© 2014 Randy Tayler