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Simplify these fraction division expressions.

$\dfrac{1}{3}\div\dfrac{10}{7}=$

$\dfrac{12}{5}\div5=$

$-14\div\dfrac{3}{2}=$

$\dfrac{70}{9}\div\dfrac{11}{-20}=$

Solution

$\begin{aligned}[t] \frac{1}{3}\div\frac{10}{7}\amp=\frac{1}{3}\cdot\frac{7}{10}\\ \amp=\frac{7}{30}\\ \ \end{aligned}$

$\begin{aligned}[t] \frac{12}{5}\div5\amp=\frac{12}{5}\cdot\frac{1}{5}\\ \amp=\frac{12}{25}\\ \ \end{aligned}$

$\begin{aligned}[t] -14\div\frac{3}{2}\amp=-\frac{14}{1}\cdot\frac{2}{3}\\ \amp=-\frac{28}{3}\\ \end{aligned}$

$\begin{aligned}[t] \frac{70}{9}\div\frac{11}{-20}\amp=-\frac{70}{9}\cdot\frac{20}{11}\\ \amp=-\frac{1400}{99}\\ \ \end{aligned}$

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