<?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>