Question

Calculati: a) 40/9:8/3; b) -4/9:(-2 2/3); c) 16/21:(-4/7); d) -16/27:(-2/9);

Answer 1

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Answer 2

$a) \frac{40}{9} : \frac{8}{3} = \frac{40}{9} \times \frac{3}{8} = \frac{40 \times 3}{9 \times 8} = \frac{120}{72} = \frac{5}{3}$

$b) - \frac{4}{9} : ( - 2 \frac{2}{3}) = - \frac{4}{9} : - \frac{2 \times 3 + 2}{3} = - \frac{4}{9} : - \frac{8}{3} = - \frac{4}{9} \times \frac{3}{ - 8} = - \frac{4 \times 3}{9 \times - 8} = - \frac{12}{ - 72} = - ( - \frac{12}{72}) = - ( - \frac{1}{6}) = \frac{1}{6}$

$c) \frac{16}{21} : ( - \frac{4}{7}) = \frac{16}{21} : - \frac{4}{7} = \frac{16}{21} \times \frac{7}{ - 4} = \frac{16 \times 7}{21 \times - 4} = \frac{112}{ - 84} = - \frac{112}{84} = - \frac{4}{3}$

$d) - \frac{16}{27} : ( - \frac{2}{9}) = - \frac{16}{27} : - \frac{2}{9} = - \frac{16}{27} \times \frac{9}{ - 2} = - \frac{16 \times 9}{27 \times - 2} = - \frac{144}{ - 54} = - ( - \frac{144}{54}) = - ( - \frac{8}{3}) = \frac{8}{3}$