Question

(1 1/4:3+1/6)*(-8/9)-3,5

Answer 1

$- \frac{13}{3} \times \frac{2}{9} - \frac{7}{2} = - \frac{26}{27} - \frac{7}{2} - \frac{241}{54} = - 4 \frac{25}{54}$

Answer 2

Let's solve the expression step-by-step:

1. First, perform the addition inside the parentheses: (1 1/4 : 3 + 1/6) = (5/4 : 3 + 1/6) To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number: (5/4 : 3) = (5/4 * 1/3) Now, find a common denominator for 4 and 3, which is 12: (5/4 * 1/3) = (5/4 * 1/3 * 3/3) = (5/4 * 3/12) Multiply the numerators and denominators: (5/4 * 3/12) = 15/48 = 5/16

2. Now the expression becomes: (5/16) * (-8/9) - 3.5

3. Multiply the fractions: (5/16 * -8/9) = -40/144 = -5/18

4. The expression now becomes: (-5/18) - 3.5

5. Convert 3.5 into a fraction with a common denominator of 18: 3.5 = 3 + 0.5 = 3 + 1/2 = 6/2 + 1/2 = 7/2

6. Now the expression becomes: (-5/18) - 7/2

7. To subtract fractions, find a common denominator. The common denominator is 18, so convert 7/2 into an equivalent fraction with denominator 18: 7/2 = (7/2) * (9/9) = 63/18

8. The expression now becomes: (-5/18) - 63/18

9. Subtract the fractions: (-5/18 - 63/18) = (-5 - 63)/18 = -68/18

10. Simplify the fraction (divide numerator and denominator by their greatest common divisor, which is 2): -68/18 = -34/9

So, the final result of the expression is: (-1 1/4 : 3 + 1/6) * (-8/9) - 3.5 = -34/9 - 3.5 ≈ -4.7778 (rounded to four decimal places).