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6th Class Mathematics Fractions Question Bank Fractions and Decimals

  • question_answer
    \[\left[ \left\{ 1+\frac{1}{20+\frac{1}{20}} \right\}\times \left\{ 1+\frac{1}{20+\frac{1}{20}} \right\}- \right.\]\[\left. \left\{ 1-\frac{1}{20+\frac{1}{20}} \right\}\times \left\{ 1-\frac{1}{20+\frac{1}{20}} \right\} \right]\div \]\[\left[ \left\{ 1+\frac{1}{20+\frac{1}{20}} \right\}+\left\{ 1-\frac{1}{20+\frac{1}{20}} \right\} \right]\]

    A) \[\frac{40}{401}\]                     

    B) \[\frac{90}{401}\]

    C) \[\frac{400}{401}\]                               

    D) \[\frac{401}{400}\]

    Correct Answer: A

    Solution :

    \[\frac{{{a}^{2}}-{{b}^{2}}}{a+b}=a-b=\left[ 1+\frac{20}{401} \right]-\left[ 1-\frac{20}{401} \right]=\frac{40}{401}\]


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