6th Class Mathematics Fractions Question Bank Fractions

  • question_answer A rope, \[36\frac{1}{3}m\] long, was cut into three parts measuring \[12\frac{2}{5}m\], \[13\frac{1}{2}m\] and \[5\frac{4}{15}m\] respectively. What was the length of the rope left?

    A) \[5\frac{1}{6}\]                 

    B) \[7\frac{2}{5}\]

    C) \[9\frac{1}{6}\]               

    D) \[11\frac{2}{5}\]

    Correct Answer: A

    Solution :

    \[36\frac{1}{3}-\left[ 12\frac{2}{5}+13\frac{1}{2}+5\frac{4}{15} \right]\] \[\Rightarrow \frac{109}{3}-\left[ \frac{62}{5}+\frac{27}{2}+\frac{79}{15} \right]\] \[\Rightarrow \frac{109}{3}-\left[ \frac{372+405+158}{30} \right]\] \[\Rightarrow \frac{109}{3}-\frac{935}{30}=\frac{155}{30}=\frac{31}{6}=5\frac{1}{6}\]

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