Question

Решите уравнения пожалуйста

( 2 целых 1/16 + x ) : 3 целых 9/32 = 2/3


( x + 8/27 ) : 19 целых 5/9 = 1/ 12

Answer 1

$(2 \frac{1}{16} + x) \div 3 \frac{9}{32} = \frac{2}{3} \\ 2 \frac{1}{16} + x = \frac{2}{3} \times \frac{105}{32} \\ 2 \frac{1}{16} + x = \frac{35}{16 } \\ x = 2 \frac{3}{16} - 2 \frac{1}{16} = \frac{2}{16} = \frac{1}{8}$
▪

$(x + \frac{8}{27} ) \div 19 \frac{5}{9} = \frac{1}{12} \\ x + \frac{8}{27} = \frac{1}{12} \times \frac{176}{9} \\ x + \frac{8}{27} = \frac{44}{27} = 1 \frac{17}{27} \\ x = 1 \frac{17}{27} - \frac{8}{27} = 1 \frac{17 - 8}{27} = 1 \frac{9}{27} = 1 \frac{1}{3}$