Question

(-2,5 - 1 целых 5/6) : 1 целых 4/9 - 3 целых 5/9 * - (2 1/4)​

Answer 1

Ответ:

(-2,5 - 1 5/6) : 1 4/9 - 3 5/9 * - (2 1/4)​ = 5

Пошаговое объяснение:

1) -2,5 - 1 5/6 =  -(2 1/2 + 1 5/6) = -(2 3/6 + 1 5/6) = -4 2/6 = -4 1/3

2) -4 1/3 / 1 4/9 = -13/3 / 13/9 = -13 * 9 / (13 * 3) = -3

3) 3 5/9 * (-2 1/4) = -32/9 * 9/4 = -8

4) -3 - (-8) = 8 - 3 = 5

Answer 2

To simplify the given expression, let's break it down step by step:

1. Convert mixed numbers to improper fractions: -1 целых 5/6 = -(1 + 5/6) = -((6 * 1 + 5) / 6) = -11/6 1 целых 4/9 = 1 + 4/9 = (9 * 1 + 4) / 9 = 13/9 3 целых 5/9 = 3 + 5/9 = (9 * 3 + 5) / 9 = 32/9 2 1/4 = (4 * 2 + 1) / 4 = 9/4

2. Simplify the expression: (-2,5 - 1 целых 5/6) : 1 целых 4/9 - 3 целых 5/9 * - (2 1/4) = (-2.5 - (-11/6)) : (13/9) - (32/9) * (-9/4) = (-2.5 + 11/6) : (13/9) - (32/9) * (-9/4) = (-15/6 + 11/6) : (13/9) - (32/9) * (-9/4) = (-4/6) : (13/9) - (32/9) * (-9/4) = (-2/3) : (13/9) - (32/9) * (-9/4)

3. Multiply fractions: = (-2/3) : (13/9) - (32/9) * (-9/4) = (-2/3) : (13/9) - (32/9) * (9/-4) = (-2/3) : (13/9) - (32/9) * (-9/4) = (-2/3) : (13/9) - (-288/36) = (-2/3) : (13/9) + (288/36) = (-2/3) : (13/9) + (8/1)

4. Invert and multiply: = (-2/3) * (9/13) + (8/1) = (-18/39) + (312/39) = (-18 + 312) / 39 = 294/39 = 14/3

Therefore, the simplified value of the expression is 14/3.