Ответы
Ответ:
Пошаговое объяснение:
To solve this problem, we can start by converting all the mixed numbers to improper fractions:
3 = 3/1
-5 3/4 = -23/4
-2 5/6 = -17/6
Then, we can combine the fractions by finding a common denominator:
3/1 = 18/6
-23/4 = -69/12
-2/3 = -8/12
Putting all of this together, we have:
18/6 - 69/12 - 8/12 - (-17/6)
Simplifying each term:
18/6 simplifies to 3
-69/12 simplifies to -23/4
-8/12 simplifies to -2/3
-(-17/6) simplifies to 17/6 (remember that a double negative makes a positive)
Now we can add up all the terms:
3 - 23/4 - 2/3 + 17/6
We can convert the mixed number -23/4 to a mixed number by dividing the numerator by the denominator:
-23 ÷ 4 = -5 with a remainder of -3
So -23/4 is equal to -5 3/4.
Substituting that back into the equation:
3 - 5 3/4 - 2/3 + 17/6
We can convert 3 to a fraction with a denominator of 12 (the common denominator we used earlier):
3 = 36/12
Substituting that back into the equation:
36/12 - 5 3/4 - 2/3 + 17/6
We can convert -5 3/4 to an improper fraction:
-5 3/4 = -23/4
Substituting that back into the equation:
36/12 - 23/4 - 2/3 + 17/6
We can find a common denominator of 12:
36/12 - 69/12 - 8/12 + 34/12
Combining the numerators:
(36 - 69 - 8 + 34)/12
Simplifying the numerator:
-7/12
So the final answer is -7/12.