1. \( -0.12+\left(-7 \frac{1}{5}\right) \div 9 \)

To tackle this expression, first convert the mixed number into an improper fraction. So, \( -7 \frac{1}{5} \) becomes \( -\frac{36}{5} \). Now, your expression looks like this: \[ -0.12 + \left(-\frac{36}{5}\right) \div 9 \] Next, divide \( -\frac{36}{5} \) by \( 9 \). This gives you: \[ -\frac{36}{5} \div \frac{9}{1} = -\frac{36}{5} \cdot \frac{1}{9} = -\frac{36}{45} = -\frac{4}{5} \] Now, convert \( -0.12 \) to a fraction, which is \( -\frac{12}{100} = -\frac{3}{25} \). Your expression updates to: \[ -\frac{3}{25} - \frac{4}{5} \] To combine these, find a common denominator; here, \( 25 \) works because it's a multiple of \( 5 \). Rewrite \( -\frac{4}{5} \) as \( -\frac{20}{25} \). Finally, add the fractions: \[ -\frac{3}{25} - \frac{20}{25} = -\frac{23}{25} \] So, the final answer is: \[ -\frac{23}{25} \]