Question

((2 2/3 - 2 2/9) * (2 - 1/2)​

Answer 1

Ответ:

(2 2/3 - 2 2/9) * (2 - 1/2)​=2\3

Пошаговое объяснение:

(2 2/3 - 2 2/9) * (2 - 1/2)​

2 2/3 - 2 2/9=4\9

2 - 1/2=1 1\2

4\9*1 1\2=4\9 * 3/2=2\3

Answer 2

To simplify the expression ((2 2/3 - 2 2/9) * (2 - 1/2)), you can follow these steps:

Step 1: Convert mixed numbers to improper fractions:

• 2 2/3 can be written as (3 * 2 + 2) / 3 = 8/3.
• 2 2/9 can be written as (9 * 2 + 2) / 9 = 20/9.

So, the expression becomes ((8/3 - 20/9) * (2 - 1/2)).

Step 2: Simplify within the parentheses:

• For the first set of parentheses, find a common denominator, which is 9: (8/3 - 20/9) = (24/9 - 20/9).

• Now, subtract the fractions: (24/9 - 20/9) = 4/9.

• For the second set of parentheses, find a common denominator, which is 2: (2 - 1/2) = (4/2 - 1/2).

• Now, subtract the fractions: (4/2 - 1/2) = 3/2.

Step 3: Multiply the simplified fractions: (4/9) * (3/2).

Step 4: Multiply the numerators together and the denominators together: (4 * 3) / (9 * 2) = 12/18.

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 6: (12/6) / (18/6) = 2/3.

So, the simplified expression is 2/3.