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.

$$\frac{20}{3}$$ or $$6 \frac{2}{3}$$

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} )