math help

What is 5/100 + 4/6?

What is 5/100 + 4/6?

This is how we add

5
100
 +
4
6

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 5 by 6, and get 30, then we multiply 100 by 6 and get 600.

5/100 times 6

Now for the second term. You multiply 4 by 100, and get 400, then multiply 100 by 6 and get 600.

4/6 times 100

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

30
600
 +
400
600

Step 2

Since our denominators match, we can add the numerators.

30 + 400 = 430

Answer:

430
600

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:

430
600
 ÷ 2 =
215
300

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:

215
300
 ÷ 5 =
43
60

Now, try the same number again.

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...

No good. 47 is larger than 43. So we're done reducing.

Congratulations! Here's your final answer to 5/100 + 4/6

5
100
 +
4
6
 =
43
60
© 2014 Randy Tayler

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