# 1/3 divided by 5

#### Understand the Problem

The question is asking to divide the fraction 1/3 by the whole number 5. The approach involves rewriting the division of a fraction by a whole number as a multiplication by the reciprocal of that whole number.

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

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

#### Steps to Solve

1. Rewrite the problem as a multiplication problem

When dividing a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of a number is 1 divided by that number. So, dividing by 5 is the same as multiplying by $\frac{1}{5}$:

$$\frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5}$$

1. Multiply the two fractions

To multiply fractions, simply multiply the numerators together and the denominators together:

$$\frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5} = \frac{1}{15}$$

1. Simplify the resulting fraction

In this case, $\frac{1}{15}$ is already in its simplest form, so no further simplification is necessary.

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