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
- Identify the reciprocal of the fraction
To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$.
- Set up the multiplication
Now set up the multiplication of 5 by the reciprocal of $\frac{3}{4}$: $$ 5 \times \frac{4}{3} $$
- Multiply the whole number by the fraction
Carry out the multiplication: $$ 5 \times \frac{4}{3} = \frac{20}{3} $$
- 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.
