ГДЗ Математика 5 клас Істер — Вправа 1232

Розв'язання

1) $(\frac{12}{31} + x) - \frac{7}{31} = \frac{19}{31};$
$\frac{12}{31} + x = \frac{19}{31} + \frac{7}{31};$
$\frac{12}{31} + x = \frac{26}{31};$
$x = \frac{26}{31} - \frac{12}{31};$
$x = \frac{14}{31};$

2) $\frac{18}{43} - (x - \frac{14}{43}) = \frac{9}{43};$
$x - \frac{14}{43} = \frac{18}{43} - \frac{9}{43};$
$x - \frac{14}{43} = \frac{9}{43};$
$x = \frac{9}{43} + \frac{14}{43};$
$x = \frac{23}{43};$

3) $\frac{34}{37} - (x + \frac{12}{37}) = \frac{22}{37};$
$x + \frac{12}{37} = \frac{34}{37} - \frac{22}{37};$
$x + \frac{12}{37} = \frac{12}{37};$
$x = 0;$

4) $(x + \frac{12}{37}) + \frac{4}{37} = \frac{17}{37};$
$x + \frac{12}{37} = \frac{17}{37} - \frac{4}{37};$
$x + \frac{12}{37} = \frac{13}{37};$
$x = \frac{13}{37} - \frac{12}{37};$
$x = \frac{1}{37};$

5) $(x - \frac{5}{29}) + \frac{4}{29} = \frac{4}{29};$
$x - \frac{5}{29} = \frac{4}{29} - \frac{4}{29};$
$x - \frac{5}{29} = 0;$
$x = \frac{5}{29};$

6) $\frac{15}{59} + (\frac{27}{59} - x) = \frac{17}{59};$
$\frac{27}{59} - x = \frac{17}{59} - \frac{15}{59};$
$\frac{27}{59} - x = \frac{2}{59};$
$x = \frac{27}{59} - \frac{2}{59};$
$x = \frac{25}{59}.$

Відповідь: 1) $\frac{14}{31}$; 2) $\frac{23}{43}$; 3) 0; 4) $\frac{1}{37}$; 5) $\frac{5}{29}$; 6) $\frac{25}{59}$.