Identify Order of Operations: Identify the order of operations to be used for the calculation. According to the order of operations (PEMDAS/BODMAS), we should first perform any calculations inside parentheses, then division, followed by addition and subtraction from left to right.
Perform Division Calculation: Since there are no calculations to perform inside the parentheses, we move on to the division. We have 3÷(1/3). To divide by a fraction, we multiply by its reciprocal. The reciprocal of (1/3) is 3. So, we have 3×3.
Multiply Result: Perform the multiplication from the previous step. We have 3×3 which equals 9.
Replace Division in Expression: Replace the division with the result from Step 3 in the original expression. The new expression is 9−9+1.
Perform Subtraction: Perform the subtraction and addition from left to right. First, we do 9−9 which equals 0.
Add Result: Now add the result from Step 5 to 1. We have 0+1 which equals 1.