Re: Fractions

Stephen wrote:

I found how it works, and it doesn't put it into a mixed number. I work on it this week and see if I can't fix it. Thanks for all the help people! ----- Original Message ----- From: "Andrew Brampton" <andrew@bramp.freeserve.co.uk> To: "Stephen" <webmaster@melchior.us> Sent: Monday, December 09, 2002 7:17 PM Subject: Re: [PHP] Fractions

how about you try it to see what happens, and maybe learn how it works Andrew ----- Original Message ----- From: "Stephen" <webmaster@melchior.us> To: "Andrew Brampton" <andrew@bramp.freeserve.co.uk> Cc: "PHP List" <php-general@lists.php.net> Sent: Tuesday, December 10, 2002 12:11 AM Subject: Re: [PHP] Fractions

Would this also print out as a mixed number if it should? ----- Original Message ----- From: "Andrew Brampton" <andrew@bramp.freeserve.co.uk> To: <php-general@lists.php.net> Sent: Monday, December 09, 2002 6:44 PM Subject: Re: [PHP] Fractions

Well how would you do it on paper? $numerator = 8; $denominator = 12; $factor = 1; //Start at the greater of the 2, and loop down til you find a common

factor

for ($i=max($numerator,$denominator);$i>1;$i--) { //Check if each number divided by $i has no remainder if (($numerator % $i) == 0 && ($denominator % $i) == 0) {

       //Factor Found
       $factor = $i;
       break;
       }

} //Now a factor is found, divide by it $numerator = $numerator / $factor; $denominator = $denominator / $factor; echo $numerator . '/' . $denominator; The method might look like the above Andrew ----- Original Message ----- From: "Stephen" <webmaster@melchior.us> To: "Ray Hunter" <bigdog@venticon.com> Cc: "PHP List" <php-general@lists.php.net> Sent: Monday, December 09, 2002 11:20 PM Subject: Re: [PHP] Fractions

But how do you find it in PHP? ----- Original Message ----- From: "Ray Hunter" <bigdog@venticon.com> To: "Stephen" <webmaster@melchior.us> Cc: <php-general@lists.php.net> Sent: Monday, December 09, 2002 6:12 PM Subject: Re: [PHP] Fractions

Just like math...find the greatest common denominator of the

numerator

and denominator and then divide each (numerator and denominator)

by

that

number... ie: numerator = 8 and denominator = 12 so we have 8/12 then greatest common denominator is 4... so 8/4 = 2 and 12/4 = 3 thus, 8/12 => 2/3 On Mon, 2002-12-09 at 15:55, Stephen wrote:

I know for a fact that you're all going to think, "What the heck

does

he want fractions for!?" I have a reason...I just won't tell

you.

:-P

My problem is this. I want to simplify a fraction to simplest

form

but

if I divide, I'll get a decimal which I can't use. How could I

put

it

in simplest form without displaying a decimal to the user and if

one

does come up, a mixed number? Thanks, Stephen Craton http://www.melchior.us "What is a dreamer that cannot persevere?" --

http://www.melchior.us

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I use this to convert a decimal stored in a table.

function Fraction ($width) {

    list ($whole, $numerator) = explode ('.', $width);

    $denominator = 1 . str_repeat (0, strlen ($numerator));

    $GCD = GCD ($numerator, $denominator);

    $numerator /= $GCD;
    $denominator /= $GCD;

    If ($numerator==0) {
    return sprintf ('%d',$whole);

} else {

    return sprintf ('%d %d/%d',
        $whole, $numerator, $denominator);

} } function GCD ($a, $b) {

    while ( $b != 0)
      {
        $remainder = $a % $b;
        $a = $b;
        $b = $remainder;
      }
    return abs ($a);

} So... $width = 64.75; Fraction($width); Results: 64 3/4 You can add  and  for added effect.