Stefan has \( 4 \frac{1}{2} \) cups of oats. He uses \( 3 \frac{1}{4} \) cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs \( \frac{1}{4} \) of a cup of oats each day, how many days can Stefan feed Coco with the oats he has Icft? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions. days

To solve the problem, we will follow these steps: 1. **Convert mixed numbers to improper fractions** for easier calculations. 2. **Subtract the amount of oats used for granola bars from the total oats** to find out how much is left. 3. **Divide the remaining oats by the daily requirement for Coco** to find out how many days he can feed Coco. ### Step 1: Convert mixed numbers to improper fractions - For \( 4 \frac{1}{2} \): \[ 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \] - For \( 3 \frac{1}{4} \): \[ 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} \] ### Step 2: Subtract the oats used from the total oats Now we need to subtract \( \frac{13}{4} \) from \( \frac{9}{2} \). To do this, we need a common denominator. The least common multiple of 2 and 4 is 4. Convert \( \frac{9}{2} \) to have a denominator of 4: \[ \frac{9}{2} = \frac{9 \times 2}{2 \times 2} = \frac{18}{4} \] Now we can subtract: \[ \frac{18}{4} - \frac{13}{4} = \frac{18 - 13}{4} = \frac{5}{4} \] ### Step 3: Divide the remaining oats by the daily requirement for Coco Coco needs \( \frac{1}{4} \) of a cup of oats each day. To find out how many days Stefan can feed Coco, we divide the remaining oats \( \frac{5}{4} \) by \( \frac{1}{4} \): \[ \frac{5}{4} \div \frac{1}{4} = \frac{5}{4} \times \frac{4}{1} = \frac{5 \times 4}{4 \times 1} = \frac{20}{4} = 5 \] ### Final Answer Stefan can feed Coco for \( \boxed{5} \) days.