Вычисли:
[tex] 2) \: \frac{80}{81} \div \frac{40}{63} \times \frac{27}{28} \div \frac{3}{20} [/tex]
[tex]4) \: \frac{24}{37} \div \frac{27}{74} \div \frac{32}{45} \times \frac{14}{15} [/tex]
по действиям
[tex] 2) \: \frac{80}{81} \div \frac{40}{63} \times \frac{27}{28} \div \frac{3}{20} [/tex]
[tex]4) \: \frac{24}{37} \div \frac{27}{74} \div \frac{32}{45} \times \frac{14}{15} [/tex]
по действиям
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Ответ:
2) = 10; 4) = [tex]2\frac{1}{3}[/tex]
Пошаговое объяснение:
2) [tex]\frac{80}{81}[/tex] ÷ [tex]\frac{40}{63}[/tex] = [tex]\frac{80}{81}[/tex] × [tex]\frac{63}{40}[/tex] = [tex]\frac{2}{9}[/tex] × [tex]\frac{7}{1}[/tex] = [tex]\frac{14}{9}[/tex]
[tex]\frac{14}{9}[/tex] × [tex]\frac{27}{28}[/tex] = [tex]\frac{1}{1}[/tex] × [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]
[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{3}{20}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]\frac{20}{3}[/tex] = [tex]\frac{1}{1}[/tex] × [tex]\frac{10}{1}[/tex] = 1 × 10 = 10
4) [tex]\frac{24}{37}[/tex] ÷ [tex]\frac{27}{74}[/tex] = [tex]\frac{24}{37}[/tex] × [tex]\frac{74}{27}[/tex] = [tex]\frac{8}{1}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{16}{9}[/tex]
[tex]\frac{16}{9}[/tex] ÷ [tex]\frac{32}{45}[/tex] = [tex]\frac{16}{9}[/tex] × [tex]\frac{45}{32}[/tex] = [tex]\frac{1}{1}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2}[/tex] × [tex]\frac{14}{15}[/tex] = [tex]\frac{1}{1}[/tex] × [tex]\frac{7}{3}[/tex] = [tex]\frac{7}{3}[/tex] = [tex]2\frac{1}{3}[/tex]