Krysta and Sally own neighboring cornfields. Krysta harvested \( 31 / 2 \) acres of corn on Monday and Sally harvested \( 1 / 3 \) of an acre. How many more acres did Krysta harvest than Sally? Write your answer as a fraction or as a whole or mixed number. acres

To find out how many more acres Krysta harvested than Sally, we need to subtract the amount Sally harvested from the amount Krysta harvested. 1. **Identify the amounts harvested:** - Krysta harvested \( \frac{31}{2} \) acres. - Sally harvested \( \frac{1}{3} \) of an acre. 2. **Set up the subtraction:** We need to calculate: \[ \frac{31}{2} - \frac{1}{3} \] 3. **Find a common denominator:** The denominators are 2 and 3. The least common multiple (LCM) of 2 and 3 is 6. 4. **Convert each fraction to have the common denominator:** - For \( \frac{31}{2} \): \[ \frac{31}{2} = \frac{31 \times 3}{2 \times 3} = \frac{93}{6} \] - For \( \frac{1}{3} \): \[ \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \] 5. **Subtract the fractions:** Now we can subtract: \[ \frac{93}{6} - \frac{2}{6} = \frac{93 - 2}{6} = \frac{91}{6} \] 6. **Convert to a mixed number (if necessary):** To convert \( \frac{91}{6} \) to a mixed number, we divide 91 by 6: - \( 91 \div 6 = 15 \) remainder \( 1 \). - Thus, \( \frac{91}{6} = 15 \frac{1}{6} \). Therefore, Krysta harvested \( \frac{91}{6} \) acres or \( 15 \frac{1}{6} \) acres more than Sally. The final answer is: \[ \frac{91}{6} \text{ acres} \quad \text{or} \quad 15 \frac{1}{6} \text{ acres} \]