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8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    Which of the following is the resultant of \[\frac{1}{12}+\frac{-1}{3}+\frac{-1}{6}+\frac{-5}{7}+\frac{3}{4}+\frac{10}{7}\]?

    A)  \[1\frac{1}{21}\]                             

    B)                         \[-1\]                   

    C)                         \[0\]                                    

    D)                         \[1\]

    Correct Answer: A

    Solution :

    \[\frac{1}{12}+\frac{-1}{3}+\frac{-1}{6}+\frac{-5}{7}+\frac{3}{4}+\frac{10}{7}\] \[=\left( \frac{1}{12}-\frac{1}{3}-\frac{1}{6}+\frac{3}{4} \right)+\left( \frac{10}{7}-\frac{5}{7} \right)\] \[=\left( \frac{1-4-2+9}{12} \right)+\frac{5}{7}=\frac{1}{3}+\frac{5}{7}\] \[=\frac{22}{21}=1\frac{1}{21}\]


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