To solve the expression \( 0.88 - \frac{2}{15} \), we first convert \( 0.88 \) into a fraction for easier calculation.
The decimal \( 0.88 \) can be expressed as \( \frac{88}{100} \) or, simplified, \( \frac{22}{25} \).
Now, we need to perform the subtraction:
Convert \( \frac{2}{15} \) to a fraction with the same denominator as \( \frac{22}{25} \). The least common multiple of 25 and 15 is 75.
Convert \( \frac{22}{25} \): \[ \frac{22}{25} = \frac{22 \times 3}{25 \times 3} = \frac{66}{75} \]
Convert \( \frac{2}{15} \): \[ \frac{2}{15} = \frac{2 \times 5}{15 \times 5} = \frac{10}{75} \]
Now, we can subtract: \[ \frac{66}{75} - \frac{10}{75} = \frac{66 - 10}{75} = \frac{56}{75} \]
Thus, the result of \( 0.88 - \frac{2}{15} \) is \( \frac{56}{75} \). If you prefer a decimal, \( \frac{56}{75} \approx 0.7467 \).
