math help

What is 9/100 + 3/9?

What is 9/100 + 3/9?

This is how you add

9
100
+
3
9

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 9 by 9, and get 81, then we multiply 100 by 9 and get 900.

9/100 times 9

Now for the second term. You multiply 3 by 100, and get 300, then multiply 100 by 9 and get 900.

3/9 times 100

This gives us a new problem that looks like so:

81
900
+
300
900

Step 2

Since our denominators match, we can add the numerators.

81 + 300 = 381

That gives us an answer of

381
900

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

381
900
÷ 3 =
127
300

Now, try the same number again.

Nope. Try the next prime number, 5...

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

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

No good. 131 is larger than 127. So we're done reducing.

Congratulations! Here's your final answer to 9/100 + 3/9

9
100
+
3
9
=
127
300
© 2014 Randy Tayler