# 1/5 divided by 3

#### Understand the Problem

The question is asking us to divide the fraction 1/5 by the whole number 3. The approach involves converting the whole number into a fraction and then performing the division.

$$\frac{1}{15}$$

The final answer is ( \frac{1}{15} )

#### Steps to Solve

1. Convert the whole number into a fraction

Since 3 is a whole number, we can write it as a fraction with a denominator of 1. Therefore, we can express 3 as ( \frac{3}{1} ).

1. Rewrite the division as a multiplication by the reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of ( \frac{3}{1} ) is ( \frac{1}{3} ). So, we rewrite the division ( \frac{1}{5} \div \frac{3}{1} ) as ( \frac{1}{5} \times \frac{1}{3} ).

1. Multiply the fractions

To multiply the fractions, multiply the numerators and then multiply the denominators.

[ \frac{1}{5} \times \frac{1}{3} = \frac{1 \times 1}{5 \times 3} = \frac{1}{15} ]

Thus, ( \frac{1}{5} \div 3 = \frac{1}{15} ).

The final answer is ( \frac{1}{15} )