how to calculate a certain number of times a fraction?

NikitosKnyaz · September 22

the program must be solved using cycles. starts with (1/2).

Barand · September 22

Here's a cycle you can use to do your homework

image.png.47e04afe90a0ebdb3e17c97843fce37f.png

NikitosKnyaz · September 22

Seriously?

Barand · September 22

If it's your homework assignment, yes.

If it isn't, what have you tried so far?

jodunno · September 23

you're supposed to recreate a paper with fake math problems? well, why don't you just scan it? maybe we can use html and svg to recreate the paper. You'll have to draw the svg arrows yourself, i have no time for that or the squiggly scribble.

<html>
<head>
  <title>paper tigers</title>
  <style>
    body { font-family: "Helvetica", "Open Sans", "Arial Narrow", sans-serif; }
    span.circled { padding: 1px; border: solid 1px #000000; border-radius: 50%; }
    div.textForm { display: inline-block; position: absolute; top: 3em; left: 16em; width: 8em; height: auto; }
    .invisibleInput { margin: 2px; width: 6em; height: 1.2em; border: solid 4px #000000; border-radius: 30%; }
    .htmlform { display: inline-block; text-indent: 1em; }
    .submit { display: inline-block; position: absolute; left: 2em; width: 3.5em; padding: 4px; border: solid 4px #000000; }
    .babold { font-weight: bold; }
    .parity { margin-left: 13em; font-family: "Arial Narrow", sans-serif; font-size: 0.9em; }
    .penned { font-family: "Comic Sans MS", "Open Sans", "Arial", sans-serif; color: #5c4ea1; }
    th, td { padding: 0px 3px; font-family: "Comic Sans MS", "Open Sans", "Arial", sans-serif; color: #5c4ea1; }
    .divider { margin: 0px; padding: 0px; width: 100%; height: 1px; background: #5c4ea1; }
    .th { font-weight: normal; }
  </style>
</head>
<body>

<?php
echo '<div class="textForm"><div class="babold htmlform">html form</div>'.PHP_EOL;
echo '<div class="invisibleInput"></div>'.PHP_EOL;
echo '<div class="babold submit">submit</div></div>'.PHP_EOL;

$n = 3; $nm = $n-1;

function numerator(int $n = 0, int $circled = 0) {
  if ($n === 1) { return 1; }
  $numerator = array (); $n*= 2; $nm = $n-1;
  for ($i = 1; $i < $n; $i+=2) {
    if ($circled && $i===$nm) { $numerator[] = '<span class="circled">'.$i.'</span>'; continue; }
    $numerator[] = $i;
  } return join('.', $numerator);
}
function denominator($n) {
  if ($n === 1) { return 2; }
  $denominator = array (); $n*= 2;
  for ($i = 2; $i <= $n; $i+=2) { $denominator[] = $i; }
  return join('.', $denominator);
}

echo '<p class="babold">limit fraction</p>'.PHP_EOL;
echo '<p class="penned">N = 3</p>'.PHP_EOL;

/* $_POST['n'] = 3 ///////////////////////////////////////////////////////////////////////*/
$numerators = array(); $denominators = array();
for ($i = 1; $i <= $n; $i++) {
  $numerators[] = numerator($i, 0); $denominators[] = denominator($i);
}
echo '<table>';
echo '<tbody>';
echo '<tr>';
echo '<td>S = </td>';
for ($i = 0; $i < $n; $i++) {
  echo '<td><table><tr><td>' . $numerators[$i] . '</td></tr><tr><td class="divider"></td></tr>' . '<tr><td>' . $denominators[$i] . '</td></tr></table>' . (($i===$nm) ? '</td><td>=</td>':'</td><td>+</td>').PHP_EOL;
}
echo '</tr>';
echo '</tbody></table>'.PHP_EOL;

echo '<span class="babold parity">in each new fraction the number increases by "2".</span>'.PHP_EOL;

/* $_POST['n'] = 4 ///////////////////////////////////////////////////////////////////////*/
$n = 4; $nm = $n-1;
$numerators = array(); $denominators = array();
for ($i = 1; $i <= $n; $i++) {
  $numerators[] = numerator($i, 1); $denominators[] = denominator($i);
}
echo '<table>';
echo '<tbody><thead><th class="th">N = 4</th></thead>';
echo '<tr>';
echo '<td>S = </td>';
for ($i = 0; $i < $n; $i++) {
  echo '<td><table><tr><td>' . $numerators[$i] . '</td></tr><tr><td class="divider"></td></tr>' . '<tr><td>' . $denominators[$i] . '</td></tr></table>' . (($i===$nm) ? '':'</td><td>+</td>').PHP_EOL;
}
echo '</tr>';
echo '</tbody></table>'.PHP_EOL;

/* $_POST['n'] = 5 ///////////////////////////////////////////////////////////////////////*/
$n = 5; $nm = $n-1;
$numerators = array(); $denominators = array();
for ($i = 1; $i <= $n; $i++) {
  $numerators[] = numerator($i, 0); $denominators[] = denominator($i);
}
echo '<table>';
echo '<tbody><thead><th class="th">N = 5</th></thead>';
echo '<tr>';
echo '<td>S = </td>';
for ($i = 0; $i < $n; $i++) {
  echo '<td><table><tr><td>' . $numerators[$i] . '</td></tr><tr><td class="divider"></td></tr>' . '<tr><td>' . $denominators[$i] . '</td></tr></table>' . (($i===$nm) ? '':'</td><td>+</td>').PHP_EOL;
}
echo '</tr>';
echo '</tbody></table>'.PHP_EOL;
?>

</body></html>

and, honestly, this is the worst code that i could think of. I hope that you fail 🙂 cheating gets you nowehere, unless you're bodybuilding. The Arnold cheat is quite good. I gained 2 inches using the Arnold cheat.

Barand · September 23

I gained four inches just by giving up rugby, squash and badminton.

jodunno · September 23

11 minutes ago, Barand said:

I gained four inches just by giving up rugby, squash and badminton.

you, Sir, have a wonderful sense of humour. I like you 🙂

Barand · September 27

I'm guessing the assignment deadline has passed, so for the sake of others reading the thread, here's one solution...

    <?php
        $a = 1;
        $b = 2;
        $c = [];
        $d = [];
        
        $N = 8;
        $tdata1 = $tdata2 = "";
    
        $vals = [];
        for ($i=1, $a=1, $b=2; $i<=$N; $i++, $a+=2, $b+=2)  {
            $c[] = $a;
            $d[] = $b;
            $exp =  '<u>' . join('.', $c) . "</u><br>" . join('.', $d);
            $tdata1 .= "<td>$exp</td>";
            
            $val = number_format(array_product($c) / array_product($d), 5) ;
            $tdata2 .= "<td>$val</td>";
        }
    ?>

    <table border='1'>
        <tr><th>Fraction</th>
            <?=$tdata1?>
        </tr>
        <tr><th>Decimal</th>
            <?=$tdata2?>
        </tr>
    </table>

image.png.41bcbe5dcc4e1a4807b92c7e0701eef7.png

jodunno · September 27

an html table is not a good idea if n > 16. Even lists surrender to the spatial demands. Here is my take on the matter. I work off of the old saying, "2 plus 2 is 4".

<?php
    $n = (int) 5; /* $_POST['n'] from <input type="number" name="n"> */
    $fourSure = function($x) { $i = $j = (int) 2; $e = array(); $e['d'] = $e['n'] = array();
      for (; $x > 0; $x--) { for (; $i < $x; $i+=2, $j+=4) { $e['n'][] = $j >> 1; $e['d'][] = $i; }}
      return join('&middot;', $e['n']) . ' &#247; ' . join('&middot;', $e['d']);
    }; $n = $n*2+2; echo '<ul style="font-family: sans-serif; list-style-type: none;">S = ';
    for ($i=4; $i <= $n; $i+=2) { echo '<li>'.$fourSure($i).'</li>'; }
    echo '</ul>';
?>

to each his own.

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