// Numbas version: finer_feedback_settings {"name": "Select the fraction not equivalent to the others - large denominators", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "

To find the odd fraction out, reduce each fraction to lowest terms.

\n

\\begin{align}
\\frac{\\var{osix}}{\\var{psix}}=\\frac{\\var{o_coprime}}{\\var{p_coprime}}\\times\\frac{\\var{six}}{\\var{six}} \\\\[0.5em]
\\frac{\\var{oseven}}{\\var{pseven}}=\\frac{\\var{o_coprime}}{\\var{p_coprime}}\\times\\frac{\\var{seven}}{\\var{seven}} \\\\[0.5em]
\\frac{\\var{oeight}}{\\var{peight}}=\\displaystyle\\frac{\\var{o_coprime}}{\\var{p_coprime}}\\times\\frac{\\var{eight}}{\\var{eight}} \\\\[0.5em]
\\frac{\\var{onine}}{\\var{pnine}}=\\frac{\\var{o_coprime}}{\\var{p_coprime}}\\times\\frac{\\var{nine}}{\\var{nine}} \\\\[0.5em]
\\frac{\\var{oten}}{\\var{pten}} = \\frac{\\var{oten/gcd(oten,pten)}}{\\var{pten/gcd(oten,pten)}} \\times \\frac{\\var{gcd(oten,pten)}}{\\var{gcd(oten,pten)}}
\\end{align}

\n

The odd fraction out is $\\displaystyle\\frac{\\var{oten}}{\\var{pten}}$.

\n

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Random number between 1 and 10

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Given five fractions, identify the odd fraction out. The denominators are mainly two or three digits long.

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From the options below, select the fraction which is not equivalent to the others. 

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$\\displaystyle\\frac{\\var{osix}}{\\var{psix}}$

", "

$\\displaystyle\\frac{\\var{oseven}}{\\var{pseven}}$

", "

$\\displaystyle\\frac{\\var{oeight}}{\\var{peight}}$

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$\\displaystyle\\frac{\\var{onine}}{\\var{pnine}}$

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$\\displaystyle\\frac{\\var{oten}}{\\var{pten}}$

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