Addressing division and parentheses: According to the order of operations (PEMDAS/BODMAS), we first need to address the division and parentheses. The expression inside the parentheses is (31), which is already simplified. So we will perform the division next: 3÷(31).
Performing the division: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 3÷(31) is the same as 3×3, which equals 9.
Substituting the result: Now we substitute the result of the division back into the original expression, which gives us 9−9+1.
Performing the subtraction: Next, we perform the subtraction: 9−9 equals 0.
Adding the remaining number: Finally, we add the remaining number to the result of the subtraction: 0+1 equals 1.