Question

(2 2/3 - 2 2/9)×(2 - 1 1/2) по действиям пж​

Answer 1

Ответ:

-22

Пошаговое объяснение:

44/9*-9/2

Answer 2

To calculate the expression (2 2/3 - 2 2/9) × (2 - 1 1/2), follow these steps:

Step 1: Convert mixed fractions to improper fractions: 2 2/3 = (2 * 3 + 2) / 3 = 8/3 2 2/9 = (2 * 9 + 2) / 9 = 20/9 1 1/2 = (1 * 2 + 1) / 2 = 3/2

Step 2: Perform the subtraction: (8/3 - 20/9)

Step 3: Find a common denominator for the fractions (3 and 9): Common denominator = 3 * 9 = 27

Step 4: Rewrite the fractions with the common denominator: (8/3 * 9/9 - 20/9)

Step 5: Perform the subtraction with the common denominator: (72/27 - 20/9)

Step 6: Perform the subtraction: (72/27 - 60/27) = 12/27

Step 7: Simplify the fraction: 12/27 = (4 * 3) / (9 * 3) = 4/9

Step 8: Perform the multiplication: 4/9 * (2 - 3/2)

Step 9: Convert the whole number to a fraction with the same denominator: 2 = 2/1

Step 10: Find a common denominator for the fractions (1 and 2): Common denominator = 1 * 2 = 2

Step 11: Rewrite the fractions with the common denominator: 4/9 * (2/1 - 3/2)

Step 12: Perform the subtraction with the common denominator: 4/9 * ((22 - 13) / 2)

Step 13: Perform the multiplication and subtraction: 4/9 * (4/2) = 4/9 * 2 = 8/9

The final result of the expression (2 2/3 - 2 2/9) × (2 - 1 1/2) is 8/9.