Question

знайдіть 60% значення виразу (2 3/8+3 7/24):(4 2/3-1 1/8)

Answer 1

$\dfrac{60}{100} \cdot \left(2 \frac 38+3 \frac {7}{24}\right):\left(4 \frac 23 - 1 \frac 18\right)=\\=\dfrac{3}{5} \cdot \left(\dfrac{2 \cdot 8+3}{8}+\dfrac{3 \cdot 24+7}{24}\right) :\left(\dfrac{4 \cdot 3+2}{3}-\dfrac{1 \cdot 8+1}{8}\right)=\\=\dfrac 35 \cdot \left(\dfrac{19}{8}+\dfrac{79}{24}\right): \left(\dfrac{14}{3}-\dfrac{9}{8}\right)=\dfrac 35 \cdot \dfrac{19 \cdot 3+79}{24}:\dfrac{112-27}{24}=$

$=\dfrac 35 \cdot \dfrac{136}{24}\cdot \dfrac{24}{85}=\dfrac{3}{5} \cdot \dfrac{136}{85}= \dfrac{3 \cdot 2^3 \cdot 17}{5 \cdot 17\cdot 5}=\dfrac{3 \cdot 8 \cdot 17}{5 \cdot 17 \cdot 5}=\dfrac{3 \cdot 8}{5 \cdot 5}=\dfrac{24}{25}=\dfrac{96}{100}=0{,}96.$