Question

4 2/9-5 1/8-(-1 5/6)+(-2/3)= Помогите:

Answer 1

Ответ:

19/72

Пошаговое объяснение:

1)4 2/9 = 38/9, 5 1/8 = 41/8

когда перед скобками стоит "-", измените знак каждого члена в скобках

2) 1 5/6 = 11/6

3) все переведённые дроби сложить или вычесть.

Возможно что-то может быть не понятно, но я объяснила как смогла.

Answer 2

Sure, I'd be happy to help you with this arithmetic problem. Let's break it down step by step:

Step 1: Convert all mixed numbers to improper fractions. 4 2/9 = (4 * 9 + 2) / 9 = 38 / 9 5 1/8 = (5 * 8 + 1) / 8 = 41 / 8 -1 5/6 = (-1 * 6 + 5) / 6 = -1/6 -2/3 = -2/3

Step 2: Perform the subtraction and addition operations. 38/9 - 41/8 - (-1/6) + (-2/3)

Step 3: Find a common denominator for the fractions involved, which is the least common multiple (LCM) of 9, 8, and 6, which is 72.

Step 4: Convert each fraction to have a denominator of 72. (38/9) * (8/8) = 304/72 (41/8) * (9/9) = 369/72 (-1/6) * (12/12) = -12/72 (-2/3) * (24/24) = -48/72

Step 5: Now, the expression becomes: (304/72) - (369/72) - (-12/72) + (-48/72)

Step 6: Combine the fractions with the same denominators: (304 - 369 + 12 - 48) / 72

Step 7: Perform the arithmetic in the numerator: (-101) / 72

So, the final answer is: -101 / 72

If you need a decimal approximation, you can divide -101 by 72: -101 ÷ 72 ≈ -1.4028 (rounded to four decimal places).

Therefore, the result of the expression is approximately -1.4028.