# 1/3 divided by 6

#### Understand the Problem

The question is asking us to divide the fraction 1/3 by the whole number 6. This involves understanding how to perform division with fractions and will require converting the whole number into a fraction for easier calculation.

$$\frac{1}{18}$$

The final answer is ( \frac{1}{18} ).

#### Steps to Solve

1. Convert the whole number to a fraction

To make division with fractions easier, convert the whole number 6 into a fraction. Any whole number can be written as a fraction with a denominator of 1.

$$6 = \frac{6}{1}$$

1. Rewrite the division as multiplication by the reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of ( \frac{6}{1} ) is ( \frac{1}{6} ). Therefore,

$$\frac{1}{3} \div 6 = \frac{1}{3} \times \frac{1}{6}$$

1. Multiply the fractions

Multiply the numerators together and the denominators together:

$$\frac{1 \times 1}{3 \times 6} = \frac{1}{18}$$

Thus, the result of ( \frac{1}{3} \div 6 ) is ( \frac{1}{18} ).

The final answer is ( \frac{1}{18} ).

Fractions are a way to represent division of integers. Dividing by a fraction is the same as multiplying by its reciprocal.

#### Tips

A common mistake is forgetting to take the reciprocal when dividing by a fraction. Always remember that dividing by a fraction is equivalent to multiplying by its reciprocal.

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