5 divided by 3/5

Understand the Problem

The question is asking to divide the number 5 by the fraction 3/5. To solve this, we will multiply 5 by the reciprocal of 3/5, which is 5/3.

Answer

\( \frac{25}{3} \)
Answer for screen readers

The final answer is ( \frac{25}{3} )

Steps to Solve

Solving the Problem in Steps of Dividing 5 by the Fraction 3/5

  1. Identify the reciprocal of the fraction

    To divide by a fraction, multiply by its reciprocal. The reciprocal of ( \frac{3}{5} ) is ( \frac{5}{3} ).

  2. Set up the multiplication

    Multiply 5 by the reciprocal of ( \frac{3}{5} ):

    $$ 5 \times \frac{5}{3} $$

  3. Perform the multiplication

    Multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

    $$ \frac{5 \times 5}{1 \times 3} = \frac{25}{3} $$

  4. Simplify the result (if necessary)

    The fraction ( \frac{25}{3} ) is already in its simplest form. Therefore, the final answer is:

    $$ \frac{25}{3} $$

The final answer is ( \frac{25}{3} )

More Information

Dividing by a fraction is equivalent to multiplying by its reciprocal.

Tips

A common mistake is to multiply by the fraction directly instead of its reciprocal. Always remember that dividing by a fraction means multiplying by its reciprocal to get the correct result.

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