function MM_findObj(n, d) { //v4.01
  var p,i,x;  if(!d) d=document; if((p=n.indexOf("?"))>0&&parent.frames.length) {
    d=parent.frames[n.substring(p+1)].document; n=n.substring(0,p);}
  if(!(x=d[n])&&d.all) x=d.all[n]; for (i=0;!x&&i<d.forms.length;i++) x=d.forms[i][n];
  for(i=0;!x&&d.layers&&i<d.layers.length;i++) x=MM_findObj(n,d.layers[i].document);
  if(!x && d.getElementById) x=d.getElementById(n); return x;
}

function MM_validateForm() { //v4.0
  var i,p,q,nm,test,num,min,max,errors='',args=MM_validateForm.arguments;
  for (i=0; i<(args.length-2); i+=3) { test=args[i+2]; val=MM_findObj(args[i]);
    if (val) { nm=val.name; if ((val=val.value)!="") {
      if (test.indexOf('isEmail')!=-1) { p=val.indexOf('@');
        if (p<1 || p==(val.length-1)) errors+='- '+nm+' must contain an e-mail address.\n';
      } else if (test!='R') { num = parseFloat(val);
        if (isNaN(val)) errors+='- '+nm+' must contain a number.\n';
        if (test.indexOf('inRange') != -1) { p=test.indexOf(':');
          min=test.substring(8,p); max=test.substring(p+1);
          if (num<min || max<num) errors+='- '+nm+' must contain a number between '+min+' and '+max+'.\n';
    } } } else if (test.charAt(0) == 'R') errors += '- '+nm+' is required.\n'; }
  } if (errors) alert('The following error(s) occurred:\n'+errors);
  document.MM_returnValue = (errors == '');
}

function MM_preloadImages() { //v3.0
  var d=document; if(d.images){ if(!d.MM_p) d.MM_p=new Array();
    var i,j=d.MM_p.length,a=MM_preloadImages.arguments; for(i=0; i<a.length; i++)
    if (a[i].indexOf("#")!=0){ d.MM_p[j]=new Image; d.MM_p[j++].src=a[i];}}
}

function MM_displayStatusMsg(msgStr) { //v1.0
status=msgStr;
document.MM_returnValue = true;
}

function MM_swapImgRestore() { //v3.0
  var i,x,a=document.MM_sr; for(i=0;a&&i<a.length&&(x=a[i])&&x.oSrc;i++) x.src=x.oSrc;
}

function MM_swapImage() { //v3.0
  var i,j=0,x,a=MM_swapImage.arguments; document.MM_sr=new Array; for(i=0;i<(a.length-2);i+=3)
   if ((x=MM_findObj(a[i]))!=null){document.MM_sr[j++]=x; if(!x.oSrc) x.oSrc=x.src; x.src=a[i+2];}
}



<!-- Calculates Greatest Common Divisor and Least Common Multiplier -->
<!-- Original:  John T. Caranta III (caranta@netzero.net) -->
<!-- This script and many more are available free online at -->
<!-- The JavaScript Source!! http://javascript.internet.com -->
function getGCD(x,y) {
 var w;
 while (y != 0) {
 w = x % y;
 x = y;
 y = w;
}
return x;
}

function getLCM(x,y) {
 var gcd = getGCD(x,y);
 var lcm = (x * y) / gcd;
 return lcm;
}

//  End GCD and LCM -->

// This is my function to create a fraction.  Uses the function getGCD above.
function doFraction(myNumber) {
 // Get everything before the decimal.
 myInteger = parseInt(myNumber);
 // If myInteger is not a number, set it to 0.
 if (isNaN(myInteger)) {
  myInteger = 0;
 }

 // Get number of places after decimal.
 myDecimalPosition = myNumber.lastIndexOf('.');

 if (myDecimalPosition != -1){
  // Create a string to hold everything after the decimal.
  myDecimal = myNumber.substring(myDecimalPosition+1,myNumber.length);
  // Set starting numerator
  myNumerator = parseInt(myDecimal);
  // Determine starting denominator.
  myDenominator = '1';
  for (i=0;i<myDecimal.length;i++) {
   myDenominator = myDenominator+'0';
  }
  // Get Greatest Common Divisor. 
  myGCD = getGCD(myNumerator,myDenominator);
  // Reduce fraction.
  myNumerator = myNumerator/myGCD;
  myDenominator = myDenominator/myGCD;
 }
 else {
  myNumerator = 0;
  myDenominator = 0;
 }

 // Set output text.
 myFraction = '';
 // Check for integer.
 if (myInteger != 0) {
  myFraction = myInteger;
 }
 // Check for integer and numberator for displaying hyphen.
 if (myInteger != 0){if (myNumerator != 0) {myFraction = myFraction + '-'; }}
 // Check for numberator
 if (myNumerator != 0) {
  myFraction = myFraction + myNumerator + '/' + myDenominator;
 }
 // Return myFraction value
 return myFraction;
}