1/3 divided by 3
Understand the Problem
The question is asking us to find the result of dividing 1/3 by 3, which involves understanding division of fractions.
Answer
\( \frac{1}{9} \)
Answer for screen readers
The final answer is ( \frac{1}{9} )
Steps to Solve
- Convert the division into multiplication by the reciprocal
When dividing by a number, you can multiply by its reciprocal. The reciprocal of 3 is ( \frac{1}{3} ). So, we can rewrite the division as a multiplication:
$$ \frac{1}{3} \div 3 = \frac{1}{3} \times \frac{1}{3} $$
- Multiply the fractions
Multiply the numerators and the denominators respectively:
$$ \frac{1 \times 1}{3 \times 3} = \frac{1}{9} $$
- Simplify the fraction if needed
In this case, the fraction is already in its simplest form.
The final answer is ( \frac{1}{9} ).
The final answer is ( \frac{1}{9} )
More Information
Dividing fractions by whole numbers involves multiplying by the reciprocal of the whole number. This process sometimes helps simplify complex problems.
Tips
A common mistake is forgetting to multiply by the reciprocal of the divisor.