math help

What is 100/100 + 1/12?

What is 100/100 + 1/12?

This is how we add

100
100
+
1
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 100 by 12, and get 1200, then we multiply 100 by 12 and get 1200.

100/100 times 12

Now for the second term. You multiply 1 by 100, and get 100, then multiply 100 by 12 and get 1200.

1/12 times 100

This gives us a new problem that looks like so:

1200
1200
+
100
1200

Step 2

Since our denominators match, we can add the numerators.

1200 + 100 = 1300

So what's the answer so far?

1300
1200

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:

1300
1200
÷ 2 =
650
600

Let's try dividing by that again...

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

650
600
÷ 2 =
325
300

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:

325
300
÷ 5 =
65
60

Let's try dividing by that again...

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

65
60
÷ 5 =
13
12

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 1/12

100
100
+
1
12
=
13
12
© 2014 Randy Tayler