To simplify the expression \( 1 - \frac{24}{26} \), follow these steps:
First, simplify \( \frac{24}{26} \): \[ \frac{24}{26} = \frac{12}{13} \quad (\text{by dividing both numerator and denominator by 2}) \]
Now, substitute that back into the expression: \[ 1 - \frac{12}{13} \]
To perform the subtraction, convert \( 1 \) into a fraction with a denominator of \( 13 \): \[ 1 = \frac{13}{13} \]
Now, subtract the two fractions: \[ \frac{13}{13} - \frac{12}{13} = \frac{1}{13} \]
Thus, the final result is: \[ 1 - \frac{24}{26} = \frac{1}{13} \]