Question

(2 7/24:1 5/6-1,6*0,3):(-11)

Answer 1

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Answer 2

To simplify the given expression, we can follow the order of operations (PEMDAS/BODMAS):

1. First, perform any operations inside parentheses: (2 7/24 : 1 5/6 - 1.6 * 0.3) : (-11)

2. Next, we'll work on the expression inside the innermost set of parentheses: 1.6 * 0.3 = 0.48

3. Now, we have the simplified expression: (2 7/24 : 1 5/6 - 0.48) : (-11)

4. Now, let's work on the expression inside the next set of parentheses (division): 1 5/6 can be converted to an improper fraction: (6 * 1 + 5) / 6 = 11/6

   (2 7/24 - 0.48) / (-11) To subtract 0.48 from 2 7/24, you need a common denominator, which is 24: (49/24 - 12/24) / (-11) Now subtract the fractions: (37/24) / (-11)

5. Finally, we can perform the division of the two fractions: (37/24) / (-11) To divide by a fraction, you can multiply by its reciprocal: (37/24) * (-1/11)

6. Multiply the numerators and denominators: (37 * -1) / (24 * 11)

7. Calculate the result: -37 / 264

To simplify further, you can divide both the numerator and denominator by their greatest common divisor, which is 37:

-1 / 8

So, the simplified value of the expression is -1/8.