Question

(2 7/24: 1 5/6 - 1,6 * 0,3) : (-1,1)

Answer 1

(2 7/24: 1 5/6 - 1,6 * 0,3) : (-1,1)=(55/24*6/11-12/25):(-11/10)=(5/4-12/25):(-11/10)=77/100:(-11/10)=-77/100*10/11=-7/10

Answer 2

To solve the expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the operations inside the parentheses. Step 3: Perform the division and multiplication from left to right.

Given expression: (2 7/24) - (1 5/6 - 1.6 * 0.3) / (-1.1)

Step 1: Convert mixed numbers to improper fractions. 2 7/24 = (2 * 24 + 7) / 24 = 55/24

1 5/6 = (1 * 6 + 5) / 6 = 11/6

Step 2: Perform the operations inside the parentheses. 1 5/6 - 1.6 * 0.3 = 11/6 - 1.6 * 0.3

Step 3: Perform the multiplication. 1.6 * 0.3 = 0.48

Step 2 (cont.): Perform the subtraction. 11/6 - 0.48 = (11 - 0.48 * 6) / 6 = (11 - 2.88) / 6 = 8.12 / 6 = 2.03

Now the expression becomes: 55/24 - 2.03 / (-1.1)

Step 3: Perform the division. 2.03 / (-1.1) ≈ -1.845454545 (rounded to 9 decimal places)

Now the expression becomes: 55/24 - (-1.845454545)

Step 3 (cont.): Perform the subtraction. 55/24 + 1.845454545 = (55 + 1.845454545 * 24) / 24 = (55 + 44.28909048) / 24 ≈ 99.28909048 / 24 ≈ 4.13787877 (rounded to 8 decimal places)

So, the final result is approximately 4.13787877.