math help

What is 30/100 + 1/2?

What is 30/100 + 1/2?

Here's how to add

30
100
+
1
2

Step 1

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

100 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 50, and get 50, then we multiply 2 by 50 and get 100.

1/2 times 50

This gives us a new problem that looks like so:

30
100
+
50
100

Step 2

Since our denominators match, we can add the numerators.

30 + 50 = 80

So what's the answer so far?

80
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:

80
100
÷ 2 =
40
50

Now, try the same number again.

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

40
50
÷ 2 =
20
25

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:

20
25
÷ 5 =
4
5

Now, try the same number again.

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 30/100 + 1/2

30
100
+
1
2
=
4
5
© 2014 Randy Tayler