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6th Class Mathematics Fractions Question Bank Fractions and Decimals

  • question_answer
    \[\frac{0.9\times 0.9\times 0.9+0.2\times 0.2\times 0.2+0.3\times 0.3\times 0.3}{0.9\times 0.9+0.2\times 0.2+0.3\times 0.3}\]\[\frac{-3\times 0.9\times 0.2\times 0.3}{-0.9\times 0.2-0.2\times 0.3-0.3\times 0.9}=?\]

    A) \[1.4\]                           

    B)  \[0.054\]

    C) \[0.8\]                          

    D)  \[1.0\]

    Correct Answer: A

    Solution :

    Let \[0.9\] be a, \[0.2\]be b & \[0.3\] be c Then \[\frac{{{a}^{3}}+{{b}^{3}}+{{c}^{2}}+3abc}{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-ac-bc}\] \[\frac{(a+b+c)({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ac)}{({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ac)}\] \[a+b+c\] \[\therefore \]\[a+b+c=0.9+0.2+0.3=1.4\]


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