Question

3 целых 5/12 -(3х-2 целых 5/9)=2 целых 13/18 как это решить

Answer 1

41/12-(27х-13)/9=49/18 общий знаменатель (*36)

123-4(27х-13)=98

-108х=98-175

х=77/175

Answer 2

$3 \frac{5}{12} - (3x -2 \frac{5}{9} ) = 2 \frac{13}{18} \\ \\ 3\frac{5}{12} - 3x + 2 \frac{5}{9} = 2 \frac{13}{18} \\ \\ (3 \frac{15}{36} + 2 \frac{20}{36} ) - 3x=2 \frac{13}{18} \\ \\ 5 \frac{35}{36} - 3x= 2 \frac{13}{18} \\ \\ 3x=5 \frac{35}{36} - 2 \frac{13}{18} \\ \\ 3x=5 \frac{35}{36} - 2 \frac{26}{36} \\ \\ 3x= 3 \frac{9}{36} \\ \\ 3x= 3 \frac{1}{4} \\ \\ x= 3\frac{1}{4} : 3 = \frac{13}{4} * \frac{1}{3} = \frac{13}{12} \\ \\ x= 1 \frac{1}{12}$

проверим:
$3 \frac{5}{12} - (3*1 \frac{1}{12} -2 \frac{5}{9} ) = 2 \frac{13}{18} \\ \\ 3 \frac{5}{12} - ( \frac{3}{1} * \frac{13}{12} -2 \frac{5}{9} ) = 2 \frac{13}{18} \\ \\ 3 \frac{5}{12} - ( 3\frac{1}{4} -2 \frac{5}{9} ) = 2 \frac{13}{18} \\ \\ 3 \frac{5}{12} - ( 3\frac{9}{36} -2 \frac{20}{36} ) = 2 \frac{13}{18} \\ \\ 3 \frac{15}{36} - \frac{25}{36} = 2 \frac{13}{18} \\ \\ 2 \frac{26}{36} = 2 \frac{13}{18} \\ \\ 2 \frac{13}{18}=2 \frac{13}{18}$