<?xml version="1.0" encoding="UTF-8"?> <quiz> <!-- question: 35853 --> <question type="formulas"> <name> <text>Addition von 2 ungleichnamigen Brüchen</text> </name> <questiontext format="html"> <text> <![CDATA[<p>Addiere die Brüche und kürze das Ergebnis so weit wie möglich.</p><p>{#A}</p>]]> </text> </questiontext> <generalfeedback format="html"> <text></text> </generalfeedback> <defaultgrade>1.0000000</defaultgrade> <penalty>0.3333333</penalty> <hidden>0</hidden> <idnumber></idnumber> <correctfeedback format="html"> <text> <![CDATA[<p>Die Antwort ist richtig.</p>]]> </text> </correctfeedback> <partiallycorrectfeedback format="html"> <text> <![CDATA[<p>Die Antwort ist teilweise richtig.</p>]]> </text> </partiallycorrectfeedback> <incorrectfeedback format="html"> <text> <![CDATA[<p>Die Antwort ist falsch.</p>]]> </text> </incorrectfeedback> <shownumcorrect/> <varsrandom> <text></text> </varsrandom> <varsglobal> <text>n = [3, 7]; d = [2, 3];</text> </varsglobal> <answernumbering> <text>ABCD</text> </answernumbering> <answers> <partindex> <text>0</text> </partindex> <placeholder> <text>#A</text> </placeholder> <answermark> <text>1</text> </answermark> <answertype> <text>0</text> </answertype> <numbox> <text>2</text> </numbox> <vars1> <text>g = gcd(d[0],d[1]); cd = d[0]*d[1]/pow(g,2); e = [cd / d[0], cd / d[1]]; nums = [n[0]*e[0], n[1]*e[1]]; thesumnum = nums[0] + nums[1]</text> </vars1> <answer> <text>[thesumnum, cd]</text> </answer> <answernotunique> <text>0</text> </answernotunique> <vars2> <text> <![CDATA[ga = _0 == thesumnum && _1 == cd; gb = (_0 / _1) == (thesumnum / cd);]]> </text> </vars2> <correctness> <text>ga + 0.5*gb</text> </correctness> <unitpenalty> <text>1</text> </unitpenalty> <postunit> <text></text> </postunit> <ruleid> <text>1</text> </ruleid> <otherrule> <text></text> </otherrule> <subqtext format="html"> <text> <![CDATA[<p>Berechne:</p><p>\(\Large \displaystyle \frac{{n[0]}}{{d[0]}} + \frac{{n[1]}}{{d[1]}} =\) {_0} / {_1}</p>]]> </text> </subqtext> <feedback format="html"> <text> <![CDATA[<h4>Lösungshinweis</h4><p>Die korrekte Lösung ist:</p><p>\(\Large \displaystyle \frac{{n[0]}}{{d[0]}} + \frac{{n[1]}}{{d[1]}} = \frac{{nums[0]}}{{cd}} + \frac{{nums[1]}}{{cd}} = \frac{{thesumnum}}{{cd}}\)</p>]]> </text> </feedback> <correctfeedback format="html"> <text></text> </correctfeedback> <partiallycorrectfeedback format="html"> <text></text> </partiallycorrectfeedback> <incorrectfeedback format="html"> <text></text> </incorrectfeedback> </answers> </question> </quiz>