math help

What is 20/100 + 8/10?

What is 20/100 + 8/10?

Here's how you add

20
100
+
8
10

Step 1

Now we need to make our denominators match.

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:

20
100
+
80
100

Step 2

Since our denominators match, we can add the numerators.

20 + 80 = 100

This yields the answer

100
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:

100
100
÷ 2 =
50
50

Let's try dividing by that again...

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

50
50
÷ 2 =
25
25

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

25
25
÷ 5 =
5
5

Let's try dividing by that again...

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

5
5
÷ 5 =
1
1

Let's try dividing by that again...

No good. 5 is larger than 1. So we're done reducing.

There you have it! Here's the final answer to 20/100 + 8/10

20
100
+
8
10
=
1
1
= 1
© 2014 Randy Tayler