3/4 / 3/8 х-3/4-1/6=1/2

Question

Математика

Олимпий

18 декабря, 04:33

3/4 / 3/8 х-3/4-1/6=1/2

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Ответы (1)

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Вераха · Answer 1

3/4 / 3/8 х-3/4-1/6=1/2

3/4• 8/3 х - 3/4 - 1/6 = 1/2

1/1• 2/1 х = 1/2+3/4+1/6

2 х = (1•6) / (2•6) + (3•3) / (4•3) + (1•2) / (6•2)

2 х = 6/12+9/12+2/12

2 х = 17/12

Х = 17/12: 2

Х = 17/12•1/2

Х = 17/24

Проверка

3/4 / 3/8 х-3/4-1/6=1/2

3/4 / 3/8• 17/24 - 3/4 - 1/6 = 1/2

3/4• 8/3• 17/24 - 3/4 - 1/6 = 1/2

1/1• 2/1• 17/24 - 3/4 - 1/6=1/2

1/1•1/1•17/12 - (3•3) / (4•3) - (1•2) / (6•2) = 1/2

17/12 - 9/12 - 2/12=1/2

8/12 - 2/12=1/2

6/12=1/2

1/2=1/2