math help

What is 100/100 + 2/3?

What is 100/100 + 2/3?

This is how you add

100
100
+
2
3

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 3, and get 300, then we multiply 100 by 3 and get 300.

100/100 times 3

Now for the second term. You multiply 2 by 100, and get 200, then multiply 100 by 3 and get 300.

2/3 times 100

This gives us a new problem that looks like so:

300
300
+
200
300

Step 2

Since our denominators match, we can add the numerators.

300 + 200 = 500

So what's the answer so far?

500
300

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:

500
300
÷ 2 =
250
150

Now, try the same number again.

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

250
150
÷ 2 =
125
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:

125
75
÷ 5 =
25
15

Now, try the same number again.

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

25
15
÷ 5 =
5
3

Now, try the same number again.

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 100/100 + 2/3

100
100
+
2
3
=
5
3
© 2014 Randy Tayler