Exercice d'addition de fractions pour la classe de cinquième. Les deux dénominateurs sont multiples l'un de l'autre.

L'élève doit fournir le numérateur et le dénominateur de la fraction somme.

La réponse se fait par glisser-déplacer.

\language{fr}
\author{Odile Bénassy}
\email{obenassy@free.fr}
\computeanswer{no}
\format{html}
\precision{10000}
\title{Addition de fractions}


\matrix{numbers=2,1
3,1,2
4,1,3
5,2,3
6,5
7,2,3,4,5,6
8,3,5,7
9,2,4,5,7,8
10,3,7,9
11,2,3,4,5,6,7,8,9,10
12,5,7,11
13,2,3,4,5,6,7,8,9,10,11,12
14,3,5,9,11,13
15,2,4,7,8,11,13
16,3,5,7,9,11,13,15
18,5,7,11,13,17
20,3,7,9,11,13,17,19
21,2,4,5,8,10,11,13,16,17,19,20
22,3,5,7,9,13,15,17,19,21
24,5,7,11,13,17,19,23
25,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,21,22,23,24
26,3,5,7,9,11,15,17,19,21,23,25
27,2,4,5,7,8,10,11,13,14,16,17,19,20,22,23,25,26
28,3,5,9,11,13,15,17,19,23,25,27
30,7,11,13,17,19,23,29}
 
\matrix{multiples=4,6,8,10,12,14,16,18,20,22,24,26,28,30,
6,9,12,15,18,21,24,27,30,
8,12,16,20,24,28,
10,15,20,25,30,
12,18,24,30,
14,21,28,
16,24,
18,27,
20,30,
22,
24,
26}

\integer{first=random(1..12)}
\text{firstrow=row(\first, \numbers)}
\integer{b1=item(1,\firstrow)}
\integer{length1=items(\firstrow)}
\integer{a1=randomitem(item(2..\length1),\firstrow)}

\text{multiples=row(\first,\multiples)}
\integer{b2=randomitem(\multiples)}

\text{numerators=row(column 1=\b2, \numbers)}
\integer{length2=items(\numerators)}
\integer{a2=randomitem(item(2..\length2),\numerators)}

\integer{den=\b2}
\integer{num=\a2 + (\a1*(\b2/\b1))}


\matrix{all=wims(values \a1 + x for x in range(0..5))}

\text{all=wims(append item \numerators to \all)}
\matrix{more=\b1,\b2}
\matrix{more2=wims(values 2*x for x in \more)}
\matrix{more3=wims(values 3*x for x in \more)}
\text{all=wims(append item \more2 to \all)}
\text{all=wims(append item \more3 to \all)}
\text{all=wims(append item \a1 to \all)}
\text{all=wims(append item \b1 to \all)}
\text{all=wims(listuniq \all)}
\text{all=wims(listcomplement \num, \den in \all)} 

\text{hr=<HR noshade size=2>}
\text{big1=<font size=+2>}
\text{big2=</font>}
\text{all=wims(replace internal , by \big2,\big1 in \big1\all\big2)}
\text{num=\big1\num\big2}
\text{den=\big1\den\big2}

\integer{position=random(1,2)}
\if{\position=2}{
\integer{a3=\a2}\integer{a2=\a1}\integer{a1=\a3}
\integer{b3=\b2}\integer{b2=\b1}\integer{b1=\b3}}
\text{size=50x40x1}
\statement{

\if{debug iswordof \oefenv}{
<p>\firstrow donne \b1 et \a1
<p>\multiples donne \b2
<p>\numerators donne \b2 et \a2
<hr>
}

<p>Quelle est la somme des 2 fractions ?
<p><center><table border="0">
<tr>
<td align=center>\big1&nbsp;&nbsp;\a1&nbsp;&nbsp;\big2</td>
<td align=center rowspan=3>\big1&nbsp;&nbsp;+&nbsp;&nbsp;\big2</td>
<td align=center>\big1&nbsp;&nbsp;\a2&nbsp;&nbsp;\big2</td>
<td align=center rowspan=3>\big1&nbsp;&nbsp;=&nbsp;&nbsp;\big2</td>
<td align=center>\embed{reply 1,\size}</td>
</tr><tr>
<td align=center width=\fw>\hr</td>
<td align=center width=\fw>\hr</td>
<td align=center width=\fw>\hr</td>
</tr><tr>
<td align=center>\big1&nbsp;&nbsp;\b1&nbsp;&nbsp;\big2</td>
<td align=center>\big1&nbsp;&nbsp;\b2&nbsp;&nbsp;\big2</td>
<td align=center>\embed{reply 2,\size}</td>
</tr>
</table></center>
}
\answer{Numérateur}{\num;\all}{type=dragfill}
\answer{Dénominateur}{\den;}{type=dragfill}