2/7 divided by 1/3
Understand the Problem
The question is asking for the result of dividing the fraction 2/7 by the fraction 1/3. To solve it, we will multiply 2/7 by the reciprocal of 1/3, which is 3/1.
Answer
$ \frac{6}{7} $
Answer for screen readers
The final answer is $ \frac{6}{7} $.
Steps to Solve
- Write the problem in fraction form
The original problem is to divide the fractions $ \frac{2}{7} $ by $ \frac{1}{3} $. This can be expressed as:
$$ \frac{2}{7} \div \frac{1}{3} $$
- Multiply by the reciprocal
To divide by a fraction, multiply by its reciprocal. The reciprocal of $ \frac{1}{3} $ is $ \frac{3}{1} $. Now rewrite the division as multiplication:
$$ \frac{2}{7} \times \frac{3}{1} $$
- Multiply the numerators and denominators
Multiply the numerators together and the denominators together:
Numerator: $ 2 \times 3 = 6 $
Denominator: $ 7 \times 1 = 7 $
So, we have:
$$ \frac{6}{7} $$
- Write the final result
The final answer is the fraction resulting from the multiplication:
$$ \frac{6}{7} $$
The final answer is $ \frac{6}{7} $.
More Information
The process of dividing fractions involves multiplying by the reciprocal, which simplifies the operation. This technique is useful in various mathematical contexts, from basic arithmetic to algebra.
Tips
- Forgetting to use the reciprocal: A common mistake is to perform division directly without converting to multiplication. Always remember to multiply by the reciprocal.
- Multiplying incorrectly: Ensure to multiply the numerators and denominators correctly.