18 divided by 3/4
Understand the Problem
The question is asking for the result of dividing 18 by the fraction 3/4. To solve this, we will multiply 18 by the reciprocal of 3/4, which is 4/3.
Answer
24
Answer for screen readers
The final answer is 24
Steps to Solve
- Find the reciprocal of the fraction
The reciprocal of ( \frac{3}{4} ) is found by flipping the numerator and the denominator, which results in ( \frac{4}{3} ).
- Multiply 18 by the reciprocal
To divide 18 by ( \frac{3}{4} ), multiply 18 by the reciprocal of ( \frac{3}{4} ), which is ( \frac{4}{3} ). $$ 18 \times \frac{4}{3} $$
- Simplify the multiplication
Simplify the expression by performing the multiplication. $$ 18 \times \frac{4}{3} = \frac{18 \times 4}{3} = \frac{72}{3} $$
- Divide to find the result
Divide 72 by 3 to get the final answer. $$ \frac{72}{3} = 24 $$
The final answer is 24
More Information
Dividing by a fraction is the same as multiplying by its reciprocal. This is a useful trick in many mathematical contexts.
Tips
A common mistake is forgetting to take the reciprocal of the fraction when dividing. Always remember to multiply by the reciprocal when performing division involving fractions.
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