Posted By
Bajarangi soft ,
Posted On 24-09-2020
1.Converting Fractions to Decimals.
2.Converting Decimals to Fractions.
Let's learn
1.Converting Fractions to Decimals.
Calculation for Converting Fraction to Decimal.
multiple 2 with 4(denominator) and add with 3(numerator )
2*4+3=11/4 =2.75
Below method implemented by above approach of Converting Fraction to Decimal:
<?php
function fractionToDecimal($fraction)
{
// Split fraction into whole number and fraction components
preg_match('/^(?P<whole>\d+)?\s?((?P<numerator>\d+)\/(?P<denominator>\d+))?$/', $fraction, $components);
// Extract whole number, numerator, and denominator components
$whole = $components['whole'] ?: 0;
$numerator = $components['numerator'] ?: 0;
$denominator = $components['denominator'] ?: 0;
// Create decimal value
$decimal = $whole;
$numerator && $denominator && $decimal += ($numerator/$denominator);
return $decimal;
}
?>
2.Converting Decimals to Fractions.
Calculation for Converting Decimal to Fraction.
1. Rewrite the decimal number number as a fraction (over 1)
1.375 = 1.375/1
2. Multiply numerator and denominator by 103 = 1000 to eliminate 3 decimal places.
1.375 / 1×1000 / 1000=1375 /1000
3. Find the Greatest Common Factor (GCF) of 1375 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 125
1375÷125/1000÷125=11/8
Below method implemented by above approach of Converting Decimal to Fraction:
<?php
function decimalToFraction($decimal)
{
if ($decimal < 0 || !is_numeric($decimal)) {
// Negative digits need to be passed in as positive numbers
// and prefixed as negative once the response is imploded.
return false;
}
if ($decimal == 0) {
return [0, 0];
}
$tolerance = 1.e-4;
$numerator = 1;
$h2 = 0;
$denominator = 0;
$k2 = 1;
$b = 1 / $decimal;
do {
$b = 1 / $b;
$a = floor($b);// floor method removes numbers after the point
$aux = $numerator;
$numerator = $a * $numerator + $h2;
$h2 = $aux;
$aux = $denominator;
$denominator = $a * $denominator + $k2;
$k2 = $aux;
$b = $b - $a;
} while (abs($decimal - $numerator / $denominator) > $decimal * $tolerance);//this function returns absolute positive value of a number
return " Fraction ".$numerator ."/".$denominator;
}
?>
Complete Code of Conversion between Fractions to Decimals and Decimals to Fractions in php :
<?php
function fractionToDecimal($fraction)
{
// Split fraction into whole number and fraction components
preg_match('/^(?P<whole>\d+)?\s?((?P<numerator>\d+)\/(?P<denominator>\d+))?$/', $fraction, $components);
// Extract whole number, numerator, and denominator components
$whole = $components['whole'] ?: 0;
$numerator = $components['numerator'] ?: 0;
$denominator = $components['denominator'] ?: 0;
// Create decimal value
$decimal = $whole;
$numerator && $denominator && $decimal += ($numerator / $denominator);
return $decimal;
}
function decimalToFraction($decimal)
{
if ($decimal < 0 || !is_numeric($decimal)) {
// Negative digits need to be passed in as positive numbers
// and prefixed as negative once the response is imploded.
return false;
}
if ($decimal == 0) {
return [0, 0];
}
$tolerance = 1.e-4;
$numerator = 1;
$h2 = 0;
$denominator = 0;
$k2 = 1;
$b = 1 / $decimal;
do {
$b = 1 / $b;
$a = floor($b);// floor method removes numbers after the point
$aux = $numerator;
$numerator = $a * $numerator + $h2;
$h2 = $aux;
$aux = $denominator;
$denominator = $a * $denominator + $k2;
$k2 = $aux;
$b = $b - $a;
} while (abs($decimal - $numerator / $denominator) > $decimal * $tolerance);//this function returns absolute positive value of a number
return $numerator . "/" . $denominator;
}
?>
<!DOCTYPE html>
<html lang="en">
<head>
<title>Conversion between Fractions to Decimals and Decimals to Fractions</title>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.4.1/css/bootstrap.min.css">
</head>
<body>
<div class="container " style="margin-top: 70px">
<div class="text-center">
<h1>Conversion between Fractions to Decimals and Decimals to Fractions</h1>
</div>
<br>
<br>
<h4>Converting Fractions to Decimals</h4>
<div class="well">
<?php echo fractionToDecimal('2 3/4');// 2.75?>
</div>
<h4>Converting Decimals to Fractions</h4>
<div class="well">
<?php echo decimalToFraction(1.375);// 11/8 ?>
</div>
<br>
</div>
</body>
</html>