Final answer:
Joey has walked 1 3/5 miles, which is 4/5 of the distance between his school and his house. The total distance is calculated by dividing 1 3/5 by 4/5, which equals 2 miles.
Step-by-step explanation:
If Joey has walked exactly 1 3/5 miles and this distance represents 4/5 of the total distance between his school and his house, we can find the full distance by dividing the distance walked by the fraction of the total distance covered. So, the calculation to find the total distance is 1 3/5 miles ÷ 4/5.
To perform the division, we first convert 1 3/5 miles to an improper fraction which is (5 miles + 3 miles)/5 = 8/5 miles. Then divide (8/5) by (4/5) which simplifies to (8/5) × (5/4), since dividing by a fraction is the same as multiplying by its reciprocal. Multiplying these fractions we get 2 miles, which means the total distance between Joey's school and his house is 2 miles.