Question

Tính rồi rút gọn.

a) \(\dfrac{3}{8}:\dfrac{9}{4}\)                       b) \(\dfrac{8}{21}:\dfrac{4}{7}\)                         c) \(\dfrac{5}{8}:\dfrac{15}{8}\)

Answer 1

a) \(\dfrac{3}{8}:\dfrac{9}{4}\)

\(=\dfrac{3}{8}\times\dfrac{4}{9}\)

\(=\dfrac{3\times4}{8\times9}\)

\(=\dfrac{1\times1}{2\times3}\)

\(=\dfrac{1}{6}\)

b) \(\dfrac{8}{21}:\dfrac{4}{7}\)

\(=\dfrac{8}{21}\times\dfrac{7}{4}\)

\(=\dfrac{8\times7}{21\times4}\)

\(=\dfrac{2\times1}{3\times1}\)

\(=\dfrac{2}{3}\)

c) \(\dfrac{5}{8}:\dfrac{15}{8}\)

\(=\dfrac{5}{8}\times\dfrac{8}{15}\)

\(=\dfrac{5\times8}{8\times15}\)

\(=\dfrac{1\times1}{1\times3}\)

\(=\dfrac{1}{3}\)

Answer 2

a: \(=\dfrac{3}{8}\cdot\dfrac{4}{9}=\dfrac{12}{72}=\dfrac{1}{6}\)

b: \(=\dfrac{8}{21}\cdot\dfrac{7}{4}=\dfrac{56}{84}=\dfrac{2}{3}\)

c: \(=\dfrac{5}{8}\cdot\dfrac{8}{15}=\dfrac{5}{15}=\dfrac{1}{3}\)