To determine how many loaves of bread Josh can bake, we need to first convert the measurements into improper fractions or decimals for easier calculation.
Step 1: Convert the flour quantities to improper fractions.
The total amount of flour Josh has: \[ 13 \frac{1}{3} = \frac{40}{3} \text{ cups (since } 13 \times 3 + 1 = 40\text{)} \]
Each loaf requires: \[ 3 \frac{4}{5} = \frac{19}{5} \text{ cups (since } 3 \times 5 + 4 = 19\text{)} \]
Step 2: Calculate how many loaves can be made.
We can calculate the number of loaves by dividing the total flour by the flour required for one loaf: \[ \text{Number of loaves} = \frac{\text{Total flour}}{\text{Flour per loaf}} = \frac{\frac{40}{3}}{\frac{19}{5}} \]
To divide by a fraction, multiply by its reciprocal: \[ = \frac{40}{3} \times \frac{5}{19} = \frac{40 \times 5}{3 \times 19} = \frac{200}{57} \]
Step 3: Calculate the value of \( \frac{200}{57} \).
To find out how many whole loaves he can bake, we can perform the division: \[ 200 \div 57 \approx 3.50877 \]
Since Josh can only bake whole loaves, we take the whole number part: \[ \text{Number of loaves} = 3 \]
Final Answer: Josh can bake 3 loaves of bread.