• # 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)  $4\frac{1}{3}$

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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