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.
Answer
\( \frac{1}{18} \)
Answer for screen readers
The final answer is ( \frac{1}{18} ).
Steps to Solve
- 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.
$$6 = \frac{6}{1}$$
- 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,
$$ \frac{1}{3} \div 6 = \frac{1}{3} \times \frac{1}{6} $$
- 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} ).
More Information
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.
