math help

What is 100/100 + 1/4?

What is 100/100 + 1/4?

This is how you add

100
100
+
1
4

Step 1

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

100 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 25, and get 25, then we multiply 4 by 25 and get 100.

1/4 times 25

This gives us a new problem that looks like so:

100
100
+
25
100

Step 2

Since our denominators match, we can add the numerators.

100 + 25 = 125

So what's the answer so far?

125
100

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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:

125
100
÷ 5 =
25
20

Now, try the same number again.

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

25
20
÷ 5 =
5
4

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 100/100 + 1/4

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