Question

(1 2/3 * 2,1-4):1 2/3-1/6

Answer 1

Ответ:

Пошаговое объяснение:

(1 2/3 * 2,1 - 4) : 1 2/3 - 1/6 = - 7/15

1) 1 2/3 * 2,1 = 5/3 * 21/10 = 1/1 * 7/2 = 7/2 = 3,5

2) 3,5 - 4 = - 0,5

3) - 0,5 : 1 2/3 = - 5/10 : 5/3 = - 1/2 * 3/5 = - 3/10 = - 0,3

4) - 0,3 - 1/6 = - 3/10 - 1/6 = - 9/30 - 5/30 = - 14/30 = - 7/15

Answer 2

To solve the expression (1 2/3 * 2.1 - 4) ÷ (1 2/3 - 1/6), we'll follow the order of operations (PEMDAS/BODMAS):

Step 1: Convert mixed numbers to improper fractions: 1 2/3 = (3 * 1 + 2) / 3 = 5/3 1/6 = 1 / 6

Step 2: Calculate the multiplication and subtraction inside the parentheses: 1 2/3 * 2.1 - 4 = (5/3 * 2.1) - 4 = (5/3 * 21/10) - 4 = 35/10 - 4 = 3.5 - 4 = -0.5

Step 3: Calculate the subtraction outside the parentheses: 1 2/3 - 1/6 = 5/3 - 1/6 = (10/6) - (1/6) = 9/6 = 3/2

Step 4: Calculate the division: (-0.5) ÷ (3/2) = (-0.5) * (2/3) = -1/2

Therefore, the result of the expression (1 2/3 * 2.1 - 4) ÷ (1 2/3 - 1/6) is -1/2.