math help

What is 100/100 + 5/6?

What is 100/100 + 5/6?

Let's add

100
100
+
5
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 5 by 100, and get 500, then multiply 100 by 6 and get 600.

5/6 times 100

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

600
600
+
500
600

Step 2

Since our denominators match, we can add the numerators.

600 + 500 = 1100

Answer:

1100
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:

1100
600
÷ 2 =
550
300

Now, try the same number again.

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

550
300
÷ 2 =
275
150

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:

275
150
÷ 5 =
55
30

Now, try the same number again.

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

55
30
÷ 5 =
11
6

Now, try the same number again.

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

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

Congratulations! Here's your final answer to 100/100 + 5/6

100
100
+
5
6
=
11
6
© 2014 Randy Tayler