math help

What is 20/100 + 3/10?

What is 20/100 + 3/10?

Here's how to add

20
100
+
3
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

100 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 10, and get 30, then we multiply 10 by 10 and get 100.

3/10 times 10

This gives us a new problem that looks like so:

20
100
+
30
100

Step 2

Since our denominators match, we can add the numerators.

20 + 30 = 50

So what's the answer so far?

50
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:

50
100
÷ 2 =
25
50

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

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

25
50
÷ 5 =
5
10

Now, try the same number again.

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

5
10
÷ 5 =
1
2

Now, try the same number again.

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

Congratulations! Here's your final answer to 20/100 + 3/10

20
100
+
3
10
=
1
2
© 2014 Randy Tayler