5 divided by 3/4

Understand the Problem

The question is asking us to perform a division operation involving a whole number and a fraction. Specifically, we need to divide 5 by the fraction 3/4, which can be done by multiplying 5 by the reciprocal of 3/4.

Answer

\( \frac{20}{3} \) or \( 6 \frac{2}{3} \)
Answer for screen readers

The final answer is ( \frac{20}{3} ) or ( 6 \frac{2}{3} )

Steps to Solve

  1. Identify the reciprocal of the fraction

To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$.

  1. Set up the multiplication

Now set up the multiplication of 5 by the reciprocal of $\frac{3}{4}$: $$ 5 \times \frac{4}{3} $$

  1. Multiply the whole number by the fraction

Carry out the multiplication: $$ 5 \times \frac{4}{3} = \frac{20}{3} $$

  1. Simplify the fraction if needed

The fraction $\frac{20}{3}$ cannot be simplified further. However, if needed, it can be converted to a mixed number: $$ \frac{20}{3} = 6 \frac{2}{3} $$

The final answer is ( \frac{20}{3} ) or ( 6 \frac{2}{3} )

More Information

When dividing by a fraction, you're essentially multiplying by its reciprocal. This operation is fundamental in arithmetic and helps simplify complex mathematical expressions.

Tips

A common mistake is forgetting to take the reciprocal of the fraction. Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

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