Write the equations needed to solve each problem. Then solve. 1. Anna plants peas in \( \frac{3}{8} \) of her garden and herbs in \( \frac{1}{8} \) of it. She divides the rest of the garden into 6 sections. What \( f \) of the original garden is each section?

To find the fraction of the original garden that each of the 6 sections represents, we first need to determine the fraction of the garden that has already been planted with peas and herbs. We can express this with the following equation: \[ \text{Fraction planted} = \frac{3}{8} + \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \] Next, we can find the fraction of the garden that is remaining: \[ \text{Fraction remaining} = 1 - \text{Fraction planted} = 1 - \frac{1}{2} = \frac{1}{2} \] Now, we divide the remaining garden into 6 sections: \[ f = \frac{\text{Fraction remaining}}{6} = \frac{\frac{1}{2}}{6} = \frac{1}{12} \] So, each of the 6 sections represents \( \frac{1}{12} \) of the original garden.