Question

Реши уравнение:
a) x+ 2 2/11 = 5 ;
б) y- 6 5/6=2/9 ;
в) 11 1/4 - x = 3 7/10
г) (x+4/21)-4/15=16/35

Answer 1

Ответ:

a) 2 2/9

б) 7 1/18

в) 10 11/20 или 10,55

г) 8/15

Пошаговое объяснение:

а)

$x + 2 \frac{2}{11} = 5$

$x = 5 - 2 \frac{2}{11}$

$5 - 2 \frac{2}{11} = 4 \frac{11}{11} - 2 \frac{2}{11} = 2\frac{9}{11}$

$x = 2 \frac{9}{11}$

б)

$y - 6 \frac{5}{6} = \frac{2}{9}$

$y = 6 \frac{5}{6} + \frac{2}{9}$

$6 \frac{5}{6} + \frac{2}{9} = 6 \frac{15}{18} + \frac{4}{18} = 6 \frac{19}{18} = 7 \frac{1}{18}$

$y = 7 \frac{1}{18}$

в)

$11 \frac{1}{4} - x = \frac{7}{10}$

$x = 11 \frac{1}{4} - \frac{7}{10}$

$11 \frac{1}{4} - \frac{7}{10} = 11 \frac{5}{20} - \frac{14}{20} = 10 \frac{25}{20} - \frac{14}{20} = 10 \frac{11}{20}$

$x = 10 \frac{11}{20}$

$x = 10.55$

г)

$(x + \frac{4}{21} ) - \frac{4}{15} = \frac{16}{35}$

$x + \frac{4}{21} - \frac{4}{15} = \frac{16}{35}$

$\frac{4}{21} - \frac{4}{15} = \frac{20}{105} - \frac{28}{105} = - \frac{8}{105}$

$x - \frac{8}{105} = \frac{16}{35}$

$x = \frac{8}{105} + \frac{16}{35}$

$\frac{8}{105} + \frac{16}{35} = \frac{8}{105} + \frac{48}{105} = \frac{56}{105} = \frac{8}{15}$

$x = \frac{8}{15}$