6. Выполните а) (1 1/3) : (2 4/9), б) (9 - 2 2/15) * 9/25 * 14

a) \[\left(1 \frac{1}{3}\right) : \left(2 \frac{4}{9}\right) = \frac{4}{3} : \frac{22}{9} = \frac{4}{3} \cdot \frac{9}{22} = \frac{4 \cdot 9}{3 \cdot 22} = \frac{36}{66} = \frac{6}{11}\] б) \[\left(9 - 2 \frac{2}{15}\right) \cdot \frac{9}{25} \cdot 14 = \left(9 - \frac{32}{15}\right) \cdot \frac{9}{25} \cdot 14 = \left(\frac{135}{15} - \frac{32}{15}\right) \cdot \frac{9}{25} \cdot 14 = \frac{103}{15} \cdot \frac{9}{25} \cdot 14 = \frac{103 \cdot 9 \cdot 14}{15 \cdot 25} = \frac{12978}{375} = 34 \frac{228}{375} = 34 \frac{76}{125}\] Ответ: а) 6/11, б) 34 76/125