Người trả lời: GV. Đỗ Đăng Phương
a) Cách 1: 6 : $\frac{1}{4}$ = 6 x $\frac{4}{1}$ = 24; 7 : $\frac{2}{3}$ = 7 x $\frac{3}{2}$ = $\frac{21}{2}$; 8 : $\frac{4}{5}$ = 8 x $\frac{5}{4}$ = $\frac{40}{4}$ = 10. Cách 2: 6 : $\frac{1}{4}$ = 6 : $\frac{1}{4}$ = 6 x 4 = 24; 7 : $\frac{2}{3}$ = 7 : $\frac{2}{3}$ = 7 x $\frac{3}{2}$ = $\frac{21}{2}$; 8 : $\frac{4}{5}$ = 8 : $\frac{4}{5}$ = 8 x $\frac{5}{4}$ = $\frac{40}{4}$ = 10. b) Cách 1: $\frac{5}{9}$ : 3 = $\frac{5}{9}$ x $\frac{1}{3}$ = $\frac{5}{27}$; $\frac{3}{4}$ : 15 = $\frac{3}{4}$ x $\frac{1}{15}$ = $\frac{1}{20}$; $\frac{7}{6}$ : 12 = $\frac{7}{6}$ x $\frac{1}{12}$ = $\frac{7}{72}$. Cách 2: $\frac{5}{9}$ : 3 = $\frac{5}{9}$ : 3 = $\frac{5}{9}$ x $\frac{1}{3}$ = $\frac{5}{27}$; $\frac{3}{4}$ : 15 = $\frac{3}{4}$ : 15 = $\frac{3}{4}$ x $\frac{1}{15}$ = $\frac{1}{20}$; $\frac{7}{6}$ : 12 = $\frac{7}{6}$ : 12 = $\frac{7}{6}$ x $\frac{1}{12}$ = $\frac{7}{72}$. Vậy,a) 6 : $\frac{1}{4}$ = 24; 7 : $\frac{2}{3}$ = $\frac{21}{2}$; 8 : $\frac{4}{5}$ = 10.b) $\frac{5}{9}$ : 3 = $\frac{5}{27}$; $\frac{3}{4}$ : 15 = $\frac{1}{20}$; $\frac{7}{6}$ : 12 = $\frac{7}{72}$.