87719+57994:271-1/975:75

To solve the expression \( 87719 + 57994 : 271 - \frac{1}{975} : 75 \), we need to follow the order of operations (parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right)). Let's break it down step by step. 1. Start with the division and the multiplication: - Calculate \( 57994 \div 271 \). - Calculate \( \frac{1}{975} \div 75 \). 2. Perform the calculations: - \( 57994 \div 271 \approx 214.71 \) (approximately). - \( \frac{1}{975} \div 75 = \frac{1}{975 \times 75} = \frac{1}{73125} \) (approximately 0.00001366). 3. Now substitute these results back into the expression: \[ 87719 + 214.71 - 0.00001366 \] 4. Add and subtract: - First add \( 87719 + 214.71 \approx 87933.71 \). - Then subtract \( 0.00001366 \): \[ 87933.71 - 0.00001366 \approx 87933.70998634 \] 5. Round if necessary. Therefore, the final answer is approximately: \[ \approx 87933.71 \] or if you want to keep more precision: \[ 87933.70998634 \]