math help

What is 100/100 + 1/6?

What is 100/100 + 1/6?

Here's how we add

100
100
+
1
6

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 100 by 6, and get 600, then we multiply 100 by 6 and get 600.

100/100 times 6

Now for the second term. You multiply 1 by 100, and get 100, then multiply 100 by 6 and get 600.

1/6 times 100

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

600
600
+
100
600

Step 2

Since our denominators match, we can add the numerators.

600 + 100 = 700

That gives us the sum, which is

700
600

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:

700
600
÷ 2 =
350
300

Let's try dividing by that again...

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

350
300
÷ 2 =
175
150

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:

175
150
÷ 5 =
35
30

Let's try dividing by that again...

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

35
30
÷ 5 =
7
6

Let's try dividing by that again...

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

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 1/6

100
100
+
1
6
=
7
6
© 2014 Randy Tayler