Question

Вычислите: 30 13/30 + 0,2 - (3 19/33 + 2/3) : (17 5/6 - 17 15/22) + 1/3 * 9,5

Answer 1

$30\frac{13}{30}+0.2- (3\frac{19}{33}+ \frac{2}{3}): (17\frac{5}{6}- 17\frac{15}{22})+ \frac{1}{3}*9.5=$
$1) 3\frac{19}{33}+ \frac{2}{3}= \frac{118}{33}+ \frac{2}{3}= \frac{118}{33}+ \frac{22}{33}= \frac{140}{33}$
$2) 17\frac{5}{6}- 17\frac{15}{22}= \frac{107}{6}- \frac{389}{22}= \frac{2354}{132}- \frac{2334}{132}= \frac{20}{132}= \frac{5}{33}$
$3) \frac{140}{33}: \frac{33}{5}=28$
$4) \frac{1}{3}*9.5= \frac{1}{3}* \frac{95}{10}= \frac{95}{30}= \frac{19}{6}$
$5) 30\frac{13}{30}+0.2=30 \frac{13}{30}+ \frac{2}{10}= \frac{913}{30}+ \frac{2}{10}= \frac{913}{30}+ \frac{6}{30}= \frac{919}{30}$
$6) \frac{919}{30}-28= \frac{919}{30}- \frac{840}{30}= \frac{79}{30}$
$7) \frac{79}{30}+ \frac{19}{6}= \frac{79}{30}+ \frac{95}{30}= \frac{174}{30}=5.8$
ответ: 5.8

Answer 2

1) 3 19/33 + 2/3 = 3 19/33 + 22/33 = 3 41/33 = 4 8/33
2) 17 5/6 - 17 15/22 = 17 55/66 - 17 45/66 = 10/66
3) 1/3 • 9,5 = 1/3 • 95/10 = 95/30 = 3 1/6
4) 4 8/33 : 10/66 = 140/33 : 10/66 = 28
5) 30 13/30 + 0,2 - 28 + 3 1/6 = 30 13/30 + 3 5/30 - 27,8 = 33 18/30 - 27,8 = 33,6 - 27,8 = 5,8
ответ 5,8