math help

What is 100/100 + 8/11?

What is 100/100 + 8/11?

This is how you add

100
100
+
8
11

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 11, and get 1100, then we multiply 100 by 11 and get 1100.

100/100 times 11

Now for the second term. You multiply 8 by 100, and get 800, then multiply 100 by 11 and get 1100.

8/11 times 100

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

1100
1100
+
800
1100

Step 2

Since our denominators match, we can add the numerators.

1100 + 800 = 1900

Answer:

1900
1100

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:

1900
1100
÷ 2 =
950
550

Let's try dividing by that again...

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

950
550
÷ 2 =
475
275

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:

475
275
÷ 5 =
95
55

Let's try dividing by that again...

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

95
55
÷ 5 =
19
11

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 11. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 8/11

100
100
+
8
11
=
19
11
© 2014 Randy Tayler