1/4 divided by 2/3
Understand the Problem
The question is asking to perform a division operation involving two fractions, 1/4 and 2/3. To solve this, we will need to multiply the first fraction by the reciprocal of the second fraction.
Answer
\(\frac{3}{8}\)
Answer for screen readers
The final answer is (\frac{3}{8})
Steps to Solve
- Identify the fractions and the operation to be performed
We need to divide $\frac{1}{4}$ by $\frac{2}{3}$.
- Rewrite the division as multiplication by the reciprocal
Dividing by a fraction is the same as multiplying by its reciprocal. So, $\frac{1}{4} \div \frac{2}{3}$ becomes $\frac{1}{4} \times \frac{3}{2}$.
- Multiply the numerators together and the denominators together
$\frac{1 \times 3}{4 \times 2} = \frac{3}{8}$.
- Simplify the fraction if necessary
In this case, $\frac{3}{8}$ is already in its simplest form.
The final answer is (\frac{3}{8})
More Information
When dividing fractions, you actually perform a multiplication using the reciprocal of the divisor. This technique is universally applicable to any division involving fractions.
Tips
A common mistake is to multiply by the wrong reciprocal. Ensure that you find the reciprocal of the divisor fraction, not the dividend.
