4) \(\left[\left(5\frac{5}{9}-\frac{7}{18}\right):35+\left(\frac{40}{63}-\frac{8}{21}\right):20+\left(\frac{83}{90}-\frac{41}{50}\right):2\right]\cdot35\)

Question

Вопрос:

4) \(\left[\left(5\frac{5}{9}-\frac{7}{18}\right):35+\left(\frac{40}{63}-\frac{8}{21}\right):20+\left(\frac{83}{90}-\frac{41}{50}\right):2\right]\cdot35\)

Accepted Answer

Вычислим каждое слагаемое в квадратных скобках.

\(\left(5\frac{5}{9}-\frac{7}{18}\right):35=\left(\frac{100}{18}-\frac{7}{18}\right):35=\frac{31}{6}:35=\frac{31}{210}\).

\(\left(\frac{40}{63}-\frac{8}{21}\right):20=\frac{16}{63}:20=\frac{4}{315}\).

\(\left(\frac{83}{90}-\frac{41}{50}\right):2=\frac{46}{450}:2=\frac{23}{450}\).

Складываем: \(\frac{31}{210}+\frac{4}{315}+\frac{23}{450}=\frac{666}{3150}=\frac{37}{175}\). Затем \(\frac{37}{175}\cdot35=\frac{37}{5}=7\frac{2}{5}\).

Ответ: \(7\frac{2}{5}\).