Write the mixed number as an improper fraction. \( -2 \frac{1}{8} \) 1

To convert the mixed number \( -2 \frac{1}{8} \) into an improper fraction, follow these steps: 1. **Convert the whole number to a fraction**: The whole number is \(-2\). To express it as a fraction with a denominator of 8, we multiply \(-2\) by 8: \[ -2 = \frac{-2 \times 8}{8} = \frac{-16}{8} \] 2. **Add the fractional part**: The fractional part is \(\frac{1}{8}\). Now, we add this to the improper fraction we obtained from the whole number: \[ \frac{-16}{8} + \frac{1}{8} = \frac{-16 + 1}{8} = \frac{-15}{8} \] Thus, the mixed number \( -2 \frac{1}{8} \) as an improper fraction is: \[ \frac{-15}{8} \]