# Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set - Page 30: 116

$\frac{14}{3a}$

#### Work Step by Step

The quotient of two fractions is the first fraction multiplied by the reciprocal of the second fraction If $\frac{a}{b}$ and $\frac{c}{d}$ are fractions and $\frac{c}{d}$ is not 0 then $\frac{a}{b}\div \frac{c}{d}$ = $\frac{a}{b} * \frac{d}{c}$ So according to the above statement $\frac{2}{3} \div \frac{a}{7}$ = $\frac{2}{3} * \frac{7}{a}$ = $\frac{2*7}{3*a}$ = $\frac{14}{3a}$

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