When dividing two proper fractions, the resulting expression represents the division of their numerators as the quotient. To achieve this, we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the of the second fraction. This process ensures that the relative values of the fractions are maintained while performing the division. Multiplying the numerators and denominators in this way allows us to simplify the expression and obtain the correct quotient. By following this approach, we can divide two proper fractions while ensuring that the division of their numerators reflects the resulting quotient accurately.
Let's say we have two proper fractions: