(2+7)×30/43-2÷2 1/2×5/32 15 12

To solve this expression, we can follow the order of operations:

Step 1: Start with the parentheses. (2+7) = 9

The expression becomes: 9 × 30/43 - 2 ÷ 2 1/2 × 5/32

Step 2: Solve multiplication and division from left to right. 9 × 30/43 = 270/43

The expression becomes: 270/43 - 2 ÷ 2 1/2 × 5/32

Step 3: Simplify the mixed number and the fraction. 2 1/2 = 5/2

The expression becomes: 270/43 - 2 ÷ 5/2 × 5/32

Step 4: Solve division. 2 ÷ 5/2 = 2 × 2/5 = 4/5

The expression becomes: 270/43 - 4/5 × 5/32

Step 5: Solve multiplication. 4/5 × 5/32 = (4 × 5) / (5 × 32) = 20/160 = 1/8

The expression becomes: 270/43 - 1/8

Step 6: Find a common denominator to perform subtraction. The common denominator is 43 × 8.

270/43 = (270 × 8) / (43 × 8) = 2160/344

The expression becomes: 2160/344 - 1/8

Step 7: Subtract the fractions. 2160/344 - 1/8 = (2160 × 1 - 344 × 1) / (344 × 8) = (2160 - 344) / (344 × 8) = 1816/2752

So, the final answer is 1816/2752, which can be simplified to 227/344.