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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

  1. 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:

$$ \frac{2}{7} \div \frac{1}{3} $$

  1. 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:

$$ \frac{2}{7} \times \frac{3}{1} $$

  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:

$$ \frac{6}{7} $$

  1. 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.
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