Question

Вычислите (7-15/9:7/24):20/27

Answer 1

$displaystyle tt bigg(7-dfrac{15}{9}divdfrac{7}{24}bigg)divdfrac{20}{27}=bigg(7-dfrac{5}{3}cdotdfrac{24}{7}bigg)cdotdfrac{27}{20}=bigg(7-5cdotdfrac{8}{7}bigg)cdotdfrac{27}{20}=\\displaystyle tt =bigg(7-dfrac{40}{7}bigg)cdotdfrac{27}{20}=dfrac{9}{7}cdotdfrac{27}{20}=dfrac{243}{140}=bold{1dfrac{103}{140}}$