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7th Class Mathematics Simple Equations Question Bank Simple Equations

  • question_answer
    The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the new fraction is equivalent to \[\frac{2}{3}\] What is the original fraction?

    A)  \[\frac{3}{7}\]                  

    B)         \[\frac{4}{7}\]  

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

    D)         \[\frac{3}{5}\]

    Correct Answer: B

    Solution :

     Let the numerator of the original fraction be x. Then its denominator is \[x+3\]. \[\Rightarrow \] Original fraction \[=\frac{x}{x+3}\] \[\Rightarrow \] \[\frac{x+2}{x+5}=\frac{2}{3}\](Given) \[\Rightarrow x=4\] \[\therefore \]  Original fraction \[=\frac{4}{7}\]


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