To solve the expression \( 20.8 \div (12 - 11.36) - 8 \div 12.5 \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Calculate the expression inside the parentheses: \[ 12 - 11.36 = 0.64 \]
Substitute back into the expression: \[ 20.8 \div 0.64 - 8 \div 12.5 \]
Calculate each division:
- For \( 20.8 \div 0.64 \): \[ 20.8 \div 0.64 = 32.5 \]
- For \( 8 \div 12.5 \): \[ 8 \div 12.5 = 0.64 \]
Now substitute these results back into the expression: \[ 32.5 - 0.64 \]
Perform the subtraction: \[ 32.5 - 0.64 = 31.86 \]
Thus, the final result is \( 31.86 \).
