Вариант 1. Вычислите: 4/5 : 1/2; 3/7 : 6/7; 1/2 : 3/4; 5/7 : 5/7; 8/11 : 16/77; 5/23 : 15/46; 14/25 : 21/50; 18/20 : 27/40; 63/70 : 81/270; 2/33 : 24/30.

Чтобы разделить на дробь, умножаем на дробь, обратную делителю.

1. \(\frac{4}{5}:\frac{1}{2}=\frac{4}{5}\cdot\frac{2}{1}=\frac{8}{5}\).
2. \(\frac{3}{7}:\frac{6}{7}=\frac{3}{7}\cdot\frac{7}{6}=\frac{21}{42}=\frac{1}{2}\).
3. \(\frac{1}{2}:\frac{3}{4}=\frac{1}{2}\cdot\frac{4}{3}=\frac{4}{6}=\frac{2}{3}\).
4. \(\frac{5}{7}:\frac{5}{7}=\frac{5}{7}\cdot\frac{7}{5}=1\).
5. \(\frac{8}{11}:\frac{16}{77}=\frac{8}{11}\cdot\frac{77}{16}=\frac{7}{2}\).
6. \(\frac{5}{23}:\frac{15}{46}=\frac{5}{23}\cdot\frac{46}{15}=\frac{2}{3}\).
7. \(\frac{14}{25}:\frac{21}{50}=\frac{14}{25}\cdot\frac{50}{21}=\frac{4}{3}\).
8. \(\frac{18}{20}:\frac{27}{40}=\frac{18}{20}\cdot\frac{40}{27}=\frac{4}{3}\).
9. \(\frac{63}{70}:\frac{81}{270}=\frac{63}{70}\cdot\frac{270}{81}=3\).
10. \(\frac{2}{33}:\frac{24}{30}=\frac{2}{33}\cdot\frac{30}{24}=\frac{60}{792}=\frac{5}{66}\).