To simplify this expression, we follow the order of operations (PEMDAS/BODMAS):
Step 1: Do the division within the parentheses first:7 - 27/23 = 7 - 1.1739 ≈ 5.8261
Step 2: Multiply 5.8261 by 23/6:5.8261 * 23/6 ≈ 22.5
Step 3: Multiply 19/6 by 3/19:19/6 * 3/19 = 1
Step 4: Add the results of Step 2 and Step 3:22.5 + 1 = 23.5
Step 5: Divide 23.5 by 2/3:23.5 / 2/3 = 23.5 * 3/2 = 35.25
Therefore, the final answer is approximately 35.25.
To simplify this expression, we follow the order of operations (PEMDAS/BODMAS):
Step 1: Do the division within the parentheses first:
7 - 27/23 = 7 - 1.1739 ≈ 5.8261
Step 2: Multiply 5.8261 by 23/6:
5.8261 * 23/6 ≈ 22.5
Step 3: Multiply 19/6 by 3/19:
19/6 * 3/19 = 1
Step 4: Add the results of Step 2 and Step 3:
22.5 + 1 = 23.5
Step 5: Divide 23.5 by 2/3:
23.5 / 2/3 = 23.5 * 3/2 = 35.25
Therefore, the final answer is approximately 35.25.