Question

НАЙДИТЕ НЕИЗВЕСТНЫЙ ЧЛЕН ПРОПОРЦИИ 7,6 : х = 2целых 1/9 : 2целых 4/9 1целая 5/6 : 7целых 1/3= 1,6 : х

Answer 1

1)

$\displaystyle 7 \frac{6}{10}:x=2 \frac{1}{9}:2 \frac{4}{9}$

$\displaystyle 2 \frac{1}{9}*x=7 \frac{6}{10}*2 \frac{4}{9}$

$\displaystyle 2 \frac{1}{9}*x= \frac{76}{10}* \frac{22}{9}$

$\displaystyle x= \frac{76}{10}* \frac{22}{9}: \frac{19}{9}$

$\displaystyle x= \frac{76}{10}* \frac{22}{9}* \frac{9}{19}$

$\displaystyle x=8.8$

2)
$\displaystyle 1 \frac{5}{6} :7 \frac{1}{3}= \frac{16}{10}:x$

$\displaystyle 1\frac{5}{6}*x= 7\frac{1}{3}* \frac{16}{10}$

$\displaystyle x= \frac{22}{3}* \frac{16}{10}: \frac{11}{6}$

$\displaystyle x= \frac{22}{3}* \frac{16}{10}* \frac{6}{11}$

$\displaystyle x=6.4$