math help

What is 100/100 + 1/10?

What is 100/100 + 1/10?

Let's add

100
100
+
1
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 1 by 10, and get 10, then we multiply 10 by 10 and get 100.

1/10 times 10

We now have a new problem, that looks like this:

100
100
+
10
100

Step 2

Since our denominators match, we can add the numerators.

100 + 10 = 110

Answer:

110
100

Step 3

Now, do we need to simplify this fraction?

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

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

110
100
÷ 2 =
55
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:

55
50
÷ 5 =
11
10

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 100/100 + 1/10

100
100
+
1
10
=
11
10
© 2014 Randy Tayler