Question

Помогите пожалуйста решить 2 уравнения:
a) 2 1/14 - 1 1/9x = 1 5/21
b) 3 3/8 : (1/14 - 1 3/4) : 5 2/3

Answer 1

▪а)
$2 frac{1}{14} - 1 frac{1}{9} x = 1 frac{5}{21} \ 2 frac{1}{14} - 1 frac{5}{21} = 1 frac{1}{9} x \ 1 frac{1}{9} x = 1 frac{3 - 5 times 2}{42} = 1 frac{3 - 10}{42} = 1 - frac{7}{42} = 1 - frac{1}{6} = frac{5}{6} \ 1 frac{1}{9} x = frac{5}{6} \ x = frac{5}{6} div frac{10}{9} = frac{5 times 9}{6 times 10} = frac{3}{2 times 2} = frac{3}{4} \ x = frac{3}{4} = 0.75$

▪б)

$3 frac{3}{8} div ( frac{1}{14} - 1 frac{3}{4} ) div 5 frac{2}{3} = frac{27}{8} div ( - 1 frac{ 21 -2 }{28} ) div frac{17}{3} = frac{27}{8} div ( - 1 frac{19}{28} ) times frac{3}{17} = frac{27}{8} times ( - frac{28}{47} ) times frac{3}{17} = - frac{27 times 7 times 3}{2 times 47 times 17} = - frac{567}{1598}$