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5th Class Mathematics Fractions Question Bank Fractions

  • question_answer
    The sum of the numerator and the denominator of a fraction is\[67\]. When \[31\] is added to the denominator, the fraction becomes\[\frac{3}{11}\]. What was the original fraction?

    A)  \[\frac{2}{3}\]                         

    B)         \[\frac{1}{4}\] 

    C)         \[\frac{3}{4}\]                         

    D)         \[\frac{1}{3}\]                 

    Correct Answer: C

    Solution :

    Numerator \[+\] Denominator\[=67\] After adding 31 to the denominator, the numerator is 3 units and denominator is \[11\] units. \[3+11=14\]units\[=67+31=98\] \[\therefore \]\[1\]unit \[=98\div 14=7\] \[3\]units \[=3\times 7=21\] and \[11\]units \[=11\times 7=77\] New fraction\[=\frac{21}{77}\] Hence, the original fraction                   \[=\frac{21}{77-31}=\frac{21}{46}\]


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