Q 10.     Write the following rational numbers in ascending order:

 

    (iii)      \frac{-3}{7},\frac{-3}{2}, \frac{-3}{4}   

Answers (1)

Given \frac{-1}{3},\frac{2}{9}, \frac{-4}{3}

LCM of 7,2\ and\ 4 =28.

Therefore, we have

\frac{-3\times4}{7\times4}, \frac{-3\times14}{2\times14}, \frac{-3\times7}{4\times7}

\Rightarrow \frac{-12}{28}, \frac{-42}{28}, \frac{-21}{28}

Since \frac{-42}{28}<\frac{-21}{28}<\frac{-12}{28}

Hence, the required ascending order is 

\frac{-3}{2}<\frac{-3}{4}<\frac{-3}{7}

 

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