Question

Evaluate
`(x)/(y) for x = (2)/(3) and y = (6)/(7)`

A  
`(7)/(9)`
B  
`(8)/(21)`
C  
`(8)/(10)`
D  
`(12)/(21)`

Answer 1

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