7th Class Mathematics Fractions and Decimals Question Bank Fractions and Decimals

  • question_answer What is the value of the expression \[\left[ \frac{14}{3}\left( 2\frac{3}{7}-3\frac{1}{6}+1\frac{2}{3} \right) \right]\]?

    A)  \[1\frac{1}{2}\]                        

    B)  \[2\frac{1}{3}\]

    C)  \[3\frac{1}{3}\]                                    

    D)  \[4\frac{1}{3}\]

    Correct Answer: D

    Solution :

    (d) \[\frac{14}{3}\times \left( \frac{17}{7}-\frac{19}{6}+\frac{5}{3} \right)\] \[=\frac{14}{3}\times \left( \frac{102-133+70}{42} \right)=\frac{\bcancel{14}}{3}\times \frac{\bcancel{39}}{\underset{\,\,\,\,\,3}{\mathop{\bcancel{42}}}\,}\] \[=\frac{13}{3}=4\frac{1}{3}\]

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