Question

14/3 : (21/4 : 7/2) :28/9

Answer 1

$\frac{14}{3} \div ( \frac{21}{4} \div \frac{7}{2} ) \div \frac{28}{9}$

$= \frac{14}{3} \div ( \frac{21}{4} \times \frac{2}{7} ) \times \frac{9}{28}$

$= \frac{14}{3} \div ( \frac{3}{2} \times \frac{1}{1} ) \times \frac{9}{28}$

$= \frac{14}{3} \div \frac{3 \times 1}{2 \times 1} \times \frac{9}{28}$

$= \frac{14}{3} \div \frac{3}{2} \times \frac{9}{28}$

$= \frac{14}{3} \times \frac{2}{3} \times \frac{9}{28}$

$= \frac{1}{1} \times \frac{2}{3} \times \frac{3}{2}$

$= 1 \times \frac{1}{1}$

$= 1 \times 1$

$= 1$

Answer 2

$\dfrac{14}{3}$:($\dfrac{21}{4}$:$\dfrac{7}{2}$):$\dfrac{28}{9}$

$\dfrac{14}{3}$:($\dfrac{21}{4}$·$\dfrac{2}{7}$):$\dfrac{28}{9}$

$\dfrac{14}{3}$:$\dfrac{3}{2}$:$\dfrac{28}{9}$

$\dfrac{14}{3}$·$\dfrac{2}{3}$: $\dfrac{28}{9}$

$\dfrac{28}{9}$:$\dfrac{28}{9}$

$\dfrac{28}{9}$·$\dfrac{9}{28}$=1