How do you divide one fraction by another?

To divide one fraction by another, the correct approach is to invert the divisor and multiply. This means if you have a fraction A/B being divided by another fraction C/D, you would rewrite the expression as A/B ÷ C/D. To perform the division, you first take the second fraction, C/D, and flip it upside-down to get D/C. Then, you multiply the first fraction by the inverted second fraction, resulting in A/B × D/C. This method effectively transforms the division of fractions into a multiplication problem, making it easier to solve.

This rule arises from the concept of multiplying by the reciprocal, which is a fundamental principle in fraction arithmetic. Understanding this approach allows for accurate calculations when dealing with fractions in various mathematical contexts.