For expression 7 * 3 + 4 / 27 * 3 + 4 / 2, in which order are the operations evaluated?

Sure, let's break down the expression step by step according to the order of operations (PEMDAS/BODMAS rules):

Expression: 7 * 3 + 4 / 27 * 3 + 4 / 2

1. Multiplication and Division (from left to right):

   • First, evaluate 7 * 3: 7 * 3 = 21
   • Next, evaluate 4 / 27: 4 / 27 ≈ 0.1481 (approximately)
   • Then, evaluate 0.1481 * 3: 0.1481 * 3 ≈ 0.4444 (approximately)
   • Finally, evaluate 4 / 2: 4 / 2 = 2

2. Addition (from left to right):

   • Now, add the results of the multiplications and divisions: 21 + 0.4444 + 2

3. Final Addition:

   • Add 21 + 0.4444: 21 + 0.4444 ≈ 21.4444
   • Then, add 21.4444 + 2: 21.4444 + 2 ≈ 23.4444

So, the operations are evaluated in the following order:

1. 7 * 3
2. 4 / 27
3. (4 / 27) * 3
4. 4 / 2
5. 21 + (4 / 27) * 3
6. 21 + (4 / 27) * 3 + 4 / 2

The final result of the expression is approximately 23.4444.