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<quiz>
  <question type="stack">
    <name>
      <text>AlgMap-8.16</text>
    </name>
    <questiontext format="html">
      <text>Express the following as a single fraction in it's lowest terms: \[\frac{@a@}{@b@}+\frac{@c@}{@d@}-\frac{@e@}{@f@}. \]
[[input:ans]] [[validation:ans]]</text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<html>
When dealing with more than one fraction you can either focus on just two fractions at a time or, alternatively, you can find a suitable common factor for all the fractions and then peform all the arithmetic in one step. Using the latter technique in this example: <br> 
\[\frac{@a@}{@b@}+\frac{@c@}{@d@}-\frac{@e@}{@f@} = \frac{@a*d*f@}{@b*d*f@}+\frac{@c*b*f@}{@b*d*f@}-\frac{@e*b*d@}{@b*d*f@} = {@ta@}. \]

</html>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.1</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <stackversion>
      <text/>
    </stackversion>
    <questionvariables>
      <text>v:rand([x,y,z,t]);
a:(rand(3)+1)*v-rand(5);
b:rand(5)+2;
c:(rand(3)+1)*v+rand(5);
d:rand(5)+2;
e:(rand(3)+1)*v+rand(5);
f:rand(5)+2;
ta:ratsimp(a/b+c/d-e/f);</text>
    </questionvariables>
    <specificfeedback format="html">
      <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
    </specificfeedback>
    <questionnote format="moodle_auto_format">
      <text>\[\frac{@a@}{@b@}+\frac{@c@}{@d@}-\frac{@e@}{@f@} = {@ta@} . \]</text>
    </questionnote>
    <questiondescription format="moodle_auto_format">
      <text/>
    </questiondescription>
    <questionsimplify>1</questionsimplify>
    <assumepositive>0</assumepositive>
    <assumereal>0</assumereal>
    <prtcorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:green;"><i class="fa fa-check"></i></span> Correct answer, well done.]]></text>
    </prtcorrect>
    <prtpartiallycorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:orange;"><i class="fa fa-adjust"></i></span> Your answer is partially correct.]]></text>
    </prtpartiallycorrect>
    <prtincorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
    </prtincorrect>
    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
    <multiplicationsign>none</multiplicationsign>
    <sqrtsign>1</sqrtsign>
    <complexno>i</complexno>
    <inversetrig>cos-1</inversetrig>
    <logicsymbol>lang</logicsymbol>
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    <input>
      <name>ans</name>
      <type>algebraic</type>
      <tans>ta</tans>
      <boxsize>15</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords>expand</forbidwords>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
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      <checkanswertype>1</checkanswertype>
      <mustverify>1</mustverify>
      <showvalidation>1</showvalidation>
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        <answertest>EqualComAss</answertest>
        <sans>ans</sans>
        <tans>ta</tans>
        <testoptions/>
        <quiet>0</quiet>
        <truescoremode>=</truescoremode>
        <truescore>1.0000000</truescore>
        <truepenalty/>
        <truenextnode>-1</truenextnode>
        <trueanswernote>1-0-T </trueanswernote>
        <truefeedback format="html">
          <text/>
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        <falsescore>0.0000000</falsescore>
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        <falseanswernote>1-0-F </falseanswernote>
        <falsefeedback format="html">
          <text/>
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      </node>
      <node>
        <name>1</name>
        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>ans</sans>
        <tans>ta</tans>
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        <truescoremode>=</truescoremode>
        <truescore>0.0000000</truescore>
        <truepenalty/>
        <truenextnode>-1</truenextnode>
        <trueanswernote>1-1-T </trueanswernote>
        <truefeedback format="html">
          <text>Your answer is not in it's simplest form but is otherwise correct.</text>
        </truefeedback>
        <falsescoremode>=</falsescoremode>
        <falsescore>0.0000000</falsescore>
        <falsepenalty/>
        <falsenextnode>-1</falsenextnode>
        <falseanswernote>1-1-F </falseanswernote>
        <falsefeedback format="html">
          <text/>
        </falsefeedback>
      </node>
    </prt>
    <deployedseed>1801486290</deployedseed>
    <deployedseed>1577863131</deployedseed>
    <deployedseed>1285886074</deployedseed>
    <deployedseed>1887361243</deployedseed>
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    <qtest>
      <testcase>1</testcase>
      <description/>
      <testinput>
        <name>ans</name>
        <value>ta</value>
      </testinput>
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        <name>prt1</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>1-0-T</expectedanswernote>
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    </qtest>
    <qtest>
      <testcase>2</testcase>
      <description/>
      <testinput>
        <name>ans</name>
        <value>a/b+c/d-e/f</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>1-1-T </expectedanswernote>
      </expected>
    </qtest>
  </question>
</quiz>
