Question

Розв'яжіть рівняння:
а) 7/9х-1 1/3=2/9
б) (1 7/8х-3 7/12)•4 4/5=0,8​

Answer 1

Ответ:

Пошаговое объяснение:

а) 7/9х-1 1/3=2/9;

7/9x = 2/9+1 1/3 => НОК(9;3) = 9 =>

7/9x = 2/9 + 1 3/9;

7/9x = 1 5/9;

x= 1 5/9 : 7/9;

x= 14/9 * 9/7;

x=2.

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б) (1 7/8х-3 7/12)•4 4/5=0,8​;

1 7/8х-3 7/12 = 0.8 : 4 4/5    =>    0.8:24/5 = 8/10 * 5/24 = 1/6 =>

1 7/8x = 1/6 +3 7/12  => НОК(6;12) = 12 =>2/12+3 7/12 = 3 9/12 = 3 3/4=>

x = 3 3/4 : 1 7/8;

x=15/4 * 8/15;

x=2.

Answer 2

Пошаговое объяснение:

a) 7/9x-1 1/3-2/9;

7/9x = 2/9+1 1/3 => \partial K(9;3)=9=>

7/9x=2/9+13/9

7/9x=15/9 ;

x= 15/9: 7/9;

x= 14/9 * 9/7;

x=2

6) (1 7/8x-3 7/12).4 4/5=0,8;

17/8x-3 7/12 = 0.8 4 4/5 8/10 * 5/24 = 1/6 => => 0.8:24/5 =

17/8x=1/6+3~7/12\Rightarrow HOK(6,12)=12 =>2/12+3 7/12 = 3 9/12 = 3 3/4=>

x=3~3/4:17/8;

x=15/4 * 8/15;

x=2.