7 divided by 7/3

Understand the Problem

The question is asking for the result of dividing 7 by the fraction 7/3. To solve it, we will use the property of dividing by a fraction, which involves multiplying by the reciprocal of the fraction.

Answer

3
Answer for screen readers

The final answer is 3

Steps to Solve

  1. Identify the reciprocal of the fraction

Reciprocal of (\frac{7}{3}) is (\frac{3}{7}).

  1. Multiply 7 by the reciprocal

Instead of dividing by (\frac{7}{3}), multiply 7 by (\frac{3}{7})

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

  1. Simplify the multiplication

Multiply the numbers: $$ 7 \times \frac{3}{7} = \frac{7 \times 3}{7}$$

  1. Simplify the fraction

Notice that the 7 in the numerator and denominator cancel each other out: $$ \frac{7 \times 3}{7} = 3 $$

The final answer is 3

More Information

Dividing by a fraction is equivalent to multiplying by its reciprocal, which simplifies the computation.

Tips

A common mistake is to incorrectly handle the reciprocal. Always ensure you multiply by the reciprocal (flip the fraction) when dividing by another fraction.

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