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Find the value of:
$(i)$. $(-4)\div\frac{2}{3}$
$(ii)$. $-\frac{3}{5}\div2$
$(iii)$. $-\frac{4}{5}\div(-3)$
$(iv)$. $-\frac{1}{8}\div\frac{3}{4}$
$(v)$. $-\frac{2}{13}\div\frac{1}{7}$
$(vi)$. $-\frac{7}{12}\div(-\frac{2}{13})$
$(vii)$. $\frac{3}{13}\div(-\frac{4}{65})$
Given: $(i)$. $(-4)\div\frac{2}{3}$
$(ii)$. $-\frac{3}{5}\div2$
$(iii)$. $-\frac{4}{5}\div(-3)$
$(iv)$. $-\frac{1}{8}\div\frac{3}{4}$
$(v)$. $-\frac{2}{13}\div\frac{1}{7}$
$(vi)$. $-\frac{7}{12}\div(-\frac{2}{13})$
$(vii)$. $\frac{3}{13}\div(-\frac{4}{65})$
To do: To find the value of the given expressions.
Solution:
$(i)$. $(-4)\div\frac{2}{3}$
$=-4\times\frac{3}{2} = -6$
$(ii)$. $-\frac{3}{5}\div2$
$=-\frac{3}{5}\times\frac{1}{2}$
$=-\frac{3}{10}$
$(iii)$. $-\frac{4}{5}\div(-3)$
$=-\frac{4}{5}\times \frac{1}{-3}$
$=\frac{4}{15}$
$(iv) $. $-\frac{1}{8}\div\frac{3}{4}$
$=-\frac{1}{8}\times\frac{4}{3}$
$=-\frac{1}{6}$
$(v)$. $-\frac{2}{13}\div\frac{1}{7}$
$=-\frac{2}{13}\times\frac{7}{1}$
$=-\frac{14}{13}$
$=-\frac{14}{13}$
$(vi)$. $-\frac{7}{12}\div(-\frac{2}{13})$
$=-\frac{7}{12}\times \frac{13}{-2}$
$=\frac{91}{24}$
$=3\frac{19}{24}$
$(vii) $. $\frac{3}{13}\div(-\frac{4}{65})$
$=\frac{3}{13}\times(-\frac{65}{4})$
$=\frac{15}{-4}$
$=-3\frac{3}{4}$