Final answer:
The quotient of 4/5 divided by 1/5 is 4. This is calculated by multiplying 4/5 by the reciprocal of 1/5 which is 5/1, resulting in 20/5 that simplifies to 4.
Step-by-step explanation:
To calculate 4/5 divided by 1/5, we can use the rule of division of fractions which states that to divide by a fraction, you multiply by its reciprocal.
In this case, the reciprocal of 1/5 is 5/1. So we multiply 4/5 by 5/1 to find the quotient.
The steps are as follows:
- Write the problem as a multiplication: 4/5 × 5/1.
- Multiply the numerators: 4 × 5 = 20.
- Multiply the denominators: 5 × 1 = 5.
- Write the result as a fraction: 20/5.
- Simplify the fraction if possible: 20/5 = 4.