Question

Решить уравнение с дробями
3 1/3:(2/3x-13/15)=1 9/16

Answer 1

3 1/3 : (2/3x - 13/15) = 1 9/16,

2/3х - 13/15 = 3 1/3 : 1 9/16,

2/3х - 13/15 = 10/3 : 25/16,

2/3х - 13/15 = 10/3 * 16/25,

2/3х - 13/15 = 32/15,

2/3х = 32/15 + 13/15,

2/3х = 45/15,

х = 45/15 : 2/3,

х = 45/15 * 3/2,

х = 4 1/2

Answer 2

$frac{10}{3} times frac{15}{10x - 13} = frac{25}{16} \ \ 10 times frac{5}{10x - 13} = frac{25}{16} \ \ frac{50}{10x - 13} = frac{25}{16} \ \ 800 = 25(10x - 13) \ \ 32 = 10x - 13 \ \ - 10x = - 13 - 32 \ \ - 10x = - 45 \ \ x = 4.5$