Question

( - 12,8 * 1 1/9 + 10,8) : 6 6/7 + 2 3/10.

Answer 1

Ответ:

1) - 12,8 * 1 1/9 =-12,8*$\frac{10}{9}$= - $\frac{128}{9}$

2)-$\frac{128}{9}$ +$\frac{54}{5}$=$\frac{-640+485}{45}$= - $\frac{155}{45}$= -$\frac{31}{9}$

3)$-\frac{31}{9}$:$6\frac{6}{7}$=$-\frac{31}{9} :6\frac{6}{7}$=$-\frac{31}{9} :\frac{48}{7}$=$-\frac{31}{9} *\frac{7}{48}$=$-\frac{217}{432}$

4)$-\frac{217}{432} +2\frac{3}{10}$=$-\frac{217}{432}+\frac{23}{10}$=$\frac{-1085+4968}{2160} =\frac{3883}{2160} =1\frac{1723}{2160}$

Пошаговое объяснение:

Answer 2

To solve this expression, let's break it down step by step:

1. First, let's calculate the multiplication inside the parentheses: -12.8 * (1 + 1/9) + 10.8

2. Next, let's simplify the expression inside the parentheses: 1 + 1/9 = 9/9 + 1/9 = 10/9

3. Now, we can multiply -12.8 by 10/9 and add 10.8: (-12.8 * 10/9) + 10.8

4. Calculate the multiplication and addition: (-128/9) + 10.8

5. To add these two fractions, we need a common denominator, which is 9. So, convert 10.8 to a fraction with a denominator of 9: 10.8 = 10.8 * 9/9 = 97.2/9

6. Now, we can add the fractions: (-128/9) + (97.2/9)

7. Add the fractions: (-128 + 97.2)/9 = (-30.8)/9

8. Now, let's move on to the division outside the parentheses: (-30.8/9) ÷ (6 6/7 + 2 3/10)

9. Calculate the sum in the denominator first: 6 6/7 = 48/7 2 3/10 = 23/10

10. Add the fractions: (48/7 + 23/10)

11. To add these fractions, you need a common denominator. The least common multiple of 7 and 10 is 70, so let's find equivalent fractions with a denominator of 70: (48/7) * (10/10) = 480/70 (23/10) * (7/7) = 161/70

12. Now, add the fractions: (480/70 + 161/70)

13. Add the fractions: 641/70

14. Now, divide the numerator (-30.8) by the result from step 13: (-30.8) / (641/70)

15. Divide the fractions: (-30.8) * (70/641)

16. Calculate the result: -2136/641

So, the final result is approximately -3.33 (rounded to two decimal places).