math help

What is 100/100 + 2/6?

What is 100/100 + 2/6?

Here's how you add

100
100
+
2
6

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

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

100/100 times 6

Do the same for the second term. We multiply 2 by 100, and get 200, then multiply 100 by 6 and get 600.

2/6 times 100

So now our fractions look like this:

600
600
+
200
600

Step 2

Since our denominators match, we can add the numerators.

600 + 200 = 800

So the answer is:

800
600

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

800
600
÷ 2 =
400
300

Now, try the same number again.

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

400
300
÷ 2 =
200
150

Now, try the same number again.

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

200
150
÷ 2 =
100
75

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:

100
75
÷ 5 =
20
15

Now, try the same number again.

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

20
15
÷ 5 =
4
3

Now, try the same number again.

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 100/100 + 2/6

100
100
+
2
6
=
4
3
© 2014 Randy Tayler