Question

Вычислите наиболее рациональным способом:
17/441 ∙ 21/576 ∙ 72/289 ∙ 51 ∙ 7

Answer 1

А) 17/441 × 21/576 × 72/289 × 51 × 7 = 1/8

17/441 × 21/576 = 17/(441 ÷ 21) × (21 ÷ 21)/576 = 17/21 × 1/576 = 17/12096

17/12096 × 72/289 = (17 ÷ 17)/(12096 ÷ 72) × (72 ÷ 72)/(289 ÷ 17) = 1/168 × 1/17 = 1/2856

1/2856 × 357 = 1/(2856 ÷ 357) × (357 ÷ 357) = 1/8