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
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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} ).
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Set up the multiplication
Multiply 5 by the reciprocal of ( \frac{3}{5} ):
$$ 5 \times \frac{5}{3} $$
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Perform the multiplication
Multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
$$ \frac{5 \times 5}{1 \times 3} = \frac{25}{3} $$
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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.
