Question

СРОЧНО. 1.8-0.8*((5/6)²-0.016:(-3/25)+0.1 : 9/38)-1/8 : (-1/24)

Answer 1

1,8 - 0,8 * ((5/6)^2 - 0,016 : (-3/25) + 0,1 : 9/38) - 1/8 : (-1/24) = 3,8

1) (5/6)^2 = 5/6 * 5/6 = 25/36
2) 0,016 : (-3/25) = 2/125 * (-25/3) = - (2*1)/(5*3) = - 2/15
3) 0,1 : 9/38 = 1/10 * 38/9 = (1*19/(5*9) = 19/45
4) 25/36 - (-2/15) = 125/180 + 24/180 = 149/180
5) 149/180 + 19/45 = 149/180 + 76/180 = 225/180 = 5/4
6) 0,8 * 5/4 = 4/5 * 5/4 = 1
7) 1,8 - 1 = 0,8
8) 1/8 : (-1/24) = 1/8 * (-24/1) = - 24/8 = - 3
9) 0,8 - (-3) = 0,8 + 3 = 3,8

Answer 2

Sure, let's solve the expression step by step:

1. Evaluate the expression inside the innermost parentheses: (5/6)² = (5/6) * (5/6) = 25/36 0.016 / (-3/25) = 0.016 * (-25/3) = -0.1333333333 (approximately)

2. Now, let's continue simplifying the expression: 1.8 - 0.8 * (25/36 - (-0.1333333333) + 0.1 : (9/38)) - 1/8 : (-1/24)

3. Simplify the division: 0.1 : (9/38) = 0.1 * (38/9) = 0.4222222222 (approximately)

4. Continue simplifying the expression: 1.8 - 0.8 * (25/36 + 0.4222222222) - 1/8 : (-1/24)

5. Add the fractions inside the parentheses: 25/36 + 0.4222222222 = 0.6111111111 (approximately)

6. Now, simplify the expression further: 1.8 - 0.8 * 0.6111111111 - 1/8 : (-1/24)

7. Multiply: 0.8 * 0.6111111111 = 0.4888888889 (approximately)

8. Continue simplifying the expression: 1.8 - 0.4888888889 - 1/8 : (-1/24)

9. Subtract: 1.8 - 0.4888888889 = 1.3111111111 (approximately)

10. Finally, divide: 1/8 : (-1/24) = 1/8 * (-24/1) = -3

11. The final result: 1.3111111111 - (-3) = 4.3111111111 (approximately)

So, the expression evaluates to approximately 4.3111111111.