Question

Evaluate $\frac{x}{y} for x = \frac{2}{3} and y = \frac{6}{7}$
A  $\frac{7}{9}$
B  $\frac{8}{21}$
C  $\frac{8}{10}$
D  $\frac{12}{21}$

Answer 1

    
 $\displaystyle\\ \frac{x}{y} ~~~ \Big( \texttt{ for } x = \frac{2}{3} \texttt{ and } y = \frac{6}{7} \Big)= ?\\ \\ \\ \Longrightarrow~~~\frac{x}{y}= \frac{~\frac{2}{3} ~}{\frac{6}{7} }= \frac{2}{3} \cdot \frac{7}{6} =\frac{2\cdot 7}{3\cdot6 }= \frac{7}{3\cdot 3 }= \boxed{\frac{7}{9}} \\ \\ \\ \texttt{Correct ansver: A}$