Question

(x-2/9+1/81x):(x-1/81x) при x=1

Answer 1

(1-2/9+1/81):(1-1/81)= (7/9+1/81):80/81=(63/81+1/81):80/81=64/81:80/81=64/80=32/40=16/20=4/5=0,8
Ответ: 0.8

Answer 2

To find the value of the expression (x - 2/9 + 1/81x) / (x - 1/81x) when x = 1, we can simply substitute x with 1 and perform the calculations.

Let's do that step by step:

Step 1: Substitute x with 1 in the expression: (1 - 2/9 + 1/81 * 1) / (1 - 1/81 * 1)

Step 2: Simplify the expressions inside the parentheses: (1 - 2/9 + 1/81) / (1 - 1/81)

Step 3: Perform the calculations in the numerator: (1 - 2/9 + 1/81) = (81/81 - 18/81 + 1/81) = 64/81

Step 4: Perform the calculations in the denominator: (1 - 1/81) = (81/81 - 1/81) = 80/81

Step 5: Divide the numerator by the denominator: (64/81) / (80/81)

Step 6: To divide fractions, we multiply by the reciprocal of the second fraction: (64/81) * (81/80)

Step 7: Cancel out common factors if possible: (64/80)

Step 8: Simplify the fraction: 4/5

So, the value of the expression (x - 2/9 + 1/81x) / (x - 1/81x) when x = 1 is 4/5.