Question

5 класс всего-лишь найти корни уравнений

помагите

Answer 1

Пошаговое объяснение:

1)

$2,8x=9\frac{1}{3} \\ \\ 2\frac{8}{10} x=\frac{9*3+1}{3} \\ \\ 2 \frac{4}{5}x =\frac{28}{3}\\ \\ \frac{14}{5} x = \frac{28}{3}\\ \\ x=\frac{28}{3} : \frac{14}{5}\\ \\ x=\frac{28}{3} *\frac{5}{14}=\frac{2*5}{3}=\frac{10}{3}= 3 \frac{1}{3}$

2)

$x : 7,5 =\frac{6}{17} \\ \\\x=\frac{6}{17} * 7 \frac{5}{10}\\ \\ x=\frac{6}{17} * 7\frac{1}{2}\\ \\ x= \frac{6}{17} * \frac{15}{2}= \frac{3*15}{17}=\frac{45}{17}= 2 \frac{11}{15}$

3)

$4\frac{1}{9} : x = 7,4\\ \\ \frac{37}{9} : x = 7 \frac{4}{10}\\ \\ \frac{37}{9}: x=7\frac{2}{5}\\ \\ x=\frac{37}{9 }: \frac{37}{5}= \frac{37}{9} * \frac{5}{37} =\frac{5}{9}$

4)

$9 \frac{2}{11}x= 10,1\\ \\ \frac{9*11+2}{11}x= 10 \frac{1}{10}\\ \\ \frac{101}{11}x = \frac{10*10+1}{10}\\ \\\frac{101}{11}x = \frac{101}{10}\\ \\ x= \frac{101}{10} : \frac{101}{11}= \frac{101}{10} * \frac{11}{101}= \frac{11}{10}= 1 \frac{1}{10}= 1,1$