Question

               4-3,5*( 2 1/7 - 1 1/5):0,16                   3 2/7 - 3/14 : 1/6               --------------------------------------- = ------------------------------                             x                              41 23/84 - 40 49/60

Answer 1

1)2 1/7-1 1/5=2 5/35-1 7/35=1 40/35-1 7/35=33/35

2)3,5×33/35=35/10×33/35=33/10=3,3

3)4-3,3=0,7

4)0,7÷0,16=4,375

Теперь решим после знака равно

числитель:

1)3/14÷1/6=3/14×6/1=9/7=1 2/7

2)3 2/7-1 2/7=2

знаменатель:

41 23/84-40 49/60=41 230/840-40 686/840=

40 1070/840-40 686/840=384/840=48/105

2÷48/105=2×105/48=105/24=4,375

4,375÷х=4,375

х=4,375÷4,375

х=1

надеюсь понятно

Answer 2

Let's start by simplifying each expression in the numerator and denominator of the left-hand side:

4 - 3,5 * (2 1/7 - 1 1/5) = 4 - 3,5 * (15/7 - 6/5) = 4 - 3,5 * (15/7 * 5/5 - 6/5 * 7/7) = 4 - 3,5 * (75/35 - 42/35) = 4 - 3,5 * (33/35) = 4 - 3,5 * 0,9429 = 4 - 3,3115 = 0,6885

3 2/7 - 3/14 : 1/6 = 23/7 - 3/14 * 6/1 = 23/7 - 9/7 = 14/7 = 2

Now we can substitute these values into the equation:

(0,6885) / x = (2) / (41 23/84 - 40 49/60)

We can start by simplifying the denominator on the right-hand side:

41 23/84 - 40 49/60 = (41 * 60 + 23) / 84 - (40 * 60 + 49) / 60 = 2483 / 84 - 2449 / 60 = (2483 * 5) / (84 * 5) - (2449 * 7) / (60 * 7) = 6215 / 420 - 17143 / 420 = -10928 / 420

Now we can substitute this value into the equation:

(0,6885) / x = (2) / (-10928 / 420)

Simplifying the right-hand side:

(2) / (-10928 / 420) = 2 * (420 / -10928) = -0,0771

Substituting this value back into the equation:

(0,6885) / x = -0,0771

Solving for x:

x = (0,6885) / (-0,0771) = -8,9377

Therefore, the solution is x = -8,9377.