Question

24-(33/5-17/9):(1/2-1/3)=​

Answer 1

Решение задания приложено

Answer 2

To simplify the given expression, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

Step 1: Perform the operations inside the parentheses/brackets. 33/5 - 17/9 = (33/5)(9/9) - (17/9)(5/5) = (297/45) - (85/45) = (297 - 85) / 45 = 212/45

Step 2: Divide 24 by the result from Step 1. 24 / (212/45) = 24 * (45/212)

Step 3: Perform the operations inside the parentheses/brackets (again). 1/2 - 1/3 = (3/6) - (2/6) = 1/6

Step 4: Divide the result from Step 2 by the result from Step 3. 24 * (45/212) / (1/6) = 24 * (45/212) * (6/1)

Step 5: Multiply the remaining fractions. 24 * (45/212) * (6/1) = (24 * 45 * 6) / 212

Step 6: Calculate the final result. (24 * 45 * 6) / 212 = 720 / 212

The simplified result is approximately 3.3962 (rounded to four decimal places).