question_answer

Simplify:

(a) \[\frac{4}{9}\div \frac{2}{3}\]

(b) \[3\frac{3}{7}\div \frac{8}{21}\]

(c) \[15\frac{3}{7}\div 1\frac{23}{49}\]

Answer:

We have,

(a) \[=\frac{4}{9}\div \frac{2}{3}=\frac{4}{9}\times \frac{3}{2}=\frac{2\times 1}{3\times 1}=\frac{2}{3}\]

(b) \[=3\frac{3}{7}\div \frac{8}{21}=\frac{24}{7}\div \frac{8}{21}=\frac{24}{7}\times \frac{21}{8}=\frac{24\times 21}{7\times 8}\]

\[=\frac{3\times 3}{1\times 1}=9\]

(c) \[=15\frac{3}{7}\div 1\frac{23}{49}=\frac{108}{7}\div \frac{72}{49}=\frac{108}{7}\times \frac{49}{72}\]

\[=\frac{108\times 49}{7\times 72}=\frac{3\times 7}{1\times 2}=\frac{21}{2}=10\frac{1}{2}\]