Question

81 • (11/18+1/2-2/3)

Answer 1

Ответ:

В прикреплённом файле

Answer 2

To solve the expression 81 • (11/18 + 1/2 - 2/3), we need to perform the operations in the parentheses first, following the order of operations (PEMDAS/BODMAS).

Let's simplify the expression step by step:

1. Calculate the values inside the parentheses: 11/18 + 1/2 - 2/3

   To add fractions, we need to find a common denominator: The common denominator for 18 and 2 is 18, while the common denominator for 18 and 3 is 18 as well.

   Rewriting the fractions with the common denominator: (11/18) + (9/18) - (12/18)

   Now we can add the fractions: (11 + 9 - 12) / 18

   Simplifying further: 8/18

2. Simplify the expression with the calculated value: 81 • (8/18)

   To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same: 81 • 8/18

   Multiplying the numerator: (81 * 8) / 18

   Simplifying further: 648/18

3. Simplify the fraction: The fraction 648/18 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 18: (648 ÷ 18) / (18 ÷ 18) 36/1

Therefore, 81 • (11/18 + 1/2 - 2/3) equals 36.