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

  1. Identify the fractions and the operation to be performed

We need to divide $\frac{1}{4}$ by $\frac{2}{3}$.

  1. 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 $\frac{1}{4} \times \frac{3}{2}$.

  1. Multiply the numerators together and the denominators together

$\frac{1 \times 3}{4 \times 2} = \frac{3}{8}$.

  1. 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.

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