math help

What is 9/100 + 4/8?

What is 9/100 + 4/8?

This is how you add

9
100
+
4
8

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 8, and get 72, then we multiply 100 by 8 and get 800.

9/100 times 8

Now for the second term. You multiply 4 by 100, and get 400, then multiply 100 by 8 and get 800.

4/8 times 100

This gives us a new problem that looks like so:

72
800
+
400
800

Step 2

Since our denominators match, we can add the numerators.

72 + 400 = 472

That gives us an answer of

472
800

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:

472
800
÷ 2 =
236
400

Now, try the same number again.

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

236
400
÷ 2 =
118
200

Now, try the same number again.

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

118
200
÷ 2 =
59
100

Now, try the same number again.

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

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...

No good. 61 is larger than 59. So we're done reducing.

Congratulations! Here's your final answer to 9/100 + 4/8

9
100
+
4
8
=
59
100
© 2014 Randy Tayler