# Turning fractions into percentages?

• July 3rd 2012, 02:43 AM
Subliminalmessage
Turning fractions into percentages?
1
-
16

100 divided by 16 = 6.66 - How did I work this out? I used the SLEP short division techinque, Six 16s go into 100 with remainder 4, then six into 40 = 6 and I do it again and get 6.66.

I then multiply the answer to the top number 1 which = 6.66 but hang on a second... the correct answer to this sum is 6.25%

Next EAT FRUIT question

6/16

100 divided by 16 = 6.66
6.66 x = 6 = 39.6

However in this book of riddles it says 100 divided by 16 = 6.25 and 6.25 x 6 is 37.5%

So where am I going wrong? Why is my short devision techinque not working?

Thanks!

What on Earth is happening? Has the mathematic Devil choose me to punish? Did the winds fall ontop of the stray dog? Help me out here.
• July 3rd 2012, 03:44 AM
Prove It
Re: Turning fractions into percentages?
Quote:

Originally Posted by Subliminalmessage
1
-
16

100 divided by 16 = 6.66 - How did I work this out? I used the SLEP short division techinque, Six 16s go into 100 with remainder 4, then six into 40 = 6 and I do it again and get 6.66.

I then multiply the answer to the top number 1 which = 6.66 but hang on a second... the correct answer to this sum is 6.25%

Next EAT FRUIT question

6/16

100 divided by 16 = 6.66
6.66 x = 6 = 39.6

However in this book of riddles it says 100 divided by 16 = 6.25 and 6.25 x 6 is 37.5%

So where am I going wrong? Why is my short devision techinque not working?

Thanks!

What on Earth is happening? Has the mathematic Devil choose me to punish? Did the winds fall ontop of the stray dog? Help me out here.

I think you'll find that

\displaystyle \begin{align*} \frac{100}{16} &= \frac{50}{8} \\ &= \frac{25}{4} \\ &= \frac{24 + 1}{4} \\ &= \frac{24}{4} + \frac{1}{4} \\ &= 6.25 \end{align*}
• July 3rd 2012, 04:14 AM
Subliminalmessage
Re: Turning fractions into percentages?
Quote:

Originally Posted by Prove It
I think you'll find that

\displaystyle \begin{align*} \frac{100}{16} &= \frac{50}{8} \\ &= \frac{25}{4} \\ &= \frac{24 + 1}{4} \\ &= \frac{24}{4} + \frac{1}{4} \\ &= 6.25 \end{align*}

I'm with you up to the point 50/8 - 25/4 but I'm a little confused as to why you did 24+1/4, why is it 24+1 and not still 25? It seems you've made it into a 1/4.

So if The sum started off as 100/14 - 50/7 - 25/3.5 - 24+1/3.5 - 1/3.5 + 24/3.5? Is that correct?

Also, why did you stop simplifying at 25/4? Is it something you do when you get down to a number which when halfed = .something?

You don't understand how much I appreicate the help, thanks a lot for taking the time to reply.
• July 3rd 2012, 04:18 AM
Prove It
Re: Turning fractions into percentages?
Quote:

Originally Posted by Subliminalmessage
I'm with you up to the point 50/8 - 25/4 but I'm a little confused as to why you did 24+1/4, why is it 24+1 and not still 25? It seems you've made it into a 1/4.

So if The sum started off as 100/14 - 50/7 - 25/3.5 - 24+1/3.5 - 1/3.5 + 24/3.5? Is that correct?

Also, why did you stop simplifying at 25/4? Is it something you do when you get down to a number which when halfed = .something?

You don't understand how much I appreicate the help, thanks a lot for taking the time to reply.

I stopped simplifying at 25/4 because there are no more common factors to cancel. So now I actually perform the division.

Isn't 24 + 1 = 25? I chose that because I knew that 4 goes into 24 and would know what the remainder is...