Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

Question

start fraction, 4, divided by, 5, end fraction, divided by, 3
5
4
​
÷3

Answer 1

To simplify the expression \(\frac{4}{5} \div 3\), we follow these steps:

1. Convert the division into multiplication: Dividing by a number is the same as multiplying by its reciprocal. So, we can rewrite the division as follows: \[ \frac{4}{5} \div 3 = \frac{4}{5} \cdot \frac{1}{3} \]

2. Multiply the fractions: Now, we multiply the numerators and the denominators: \[ \frac{4 \cdot 1}{5 \cdot 3} = \frac{4}{15} \]

3. Check for simplification: The fraction \(\frac{4}{15}\) is already in its simplest form since 4 and 15 have no common factors other than 1.

Thus, the answer is: \[ \frac{4}{15} \]