Question

-2 2/11-4,125+1,6*3 3/4 ------------------------------- -9,5:(5 7/10-4 12/35)

Answer 1

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Answer 2

Let's break down the expression step by step:

1. -2 2/11 - 4,125: Start with the subtraction of the mixed number and the decimal. Convert the mixed number to an improper fraction:

   -2 2/11 = -24/11

Now subtract:

-24/11 - 4.125

To subtract fractions and decimals, we need a common format. Convert -24/11 to a decimal:

-24/11 ≈ -2.1818

Now subtract:

-2.1818 - 4.125 ≈ -6.3068

2. 1.6 * 3 3/4: Multiply the decimal and the mixed number. Convert the mixed number to an improper fraction:

   3 3/4 = 15/4

Now multiply:

1.6 * 15/4 ≈ 6.0

3. -9.5 : (5 7/10 - 4 12/35): Begin with the subtraction inside the parentheses:

   5 7/10 - 4 12/35

Convert both mixed numbers to improper fractions:

5 7/10 = 57/10 4 12/35 = 152/35

Now subtract:

57/10 - 152/35

To subtract fractions, we need a common denominator. The least common multiple of 10 and 35 is 70. Convert both fractions to have a denominator of 70:

(57/10) * (7/7) = 399/70 (152/35) * (2/2) = 304/70

Now subtract:

399/70 - 304/70 = 95/70

Simplify the result:

95/70 = 1 25/70

Now, divide -9.5 by the result:

-9.5 / (1 25/70)

Convert the mixed number to an improper fraction:

1 25/70 = 95/70

Now divide:

-9.5 / (95/70) ≈ -7.5789

Now, let's sum up the results from each step:

-6.3068 + 6.0 - 7.5789 ≈ -7.8857

So, the final result is approximately -7.8857.