What is the result of dividing the fractions 1/4 by 1/3?

To determine the result of dividing the fractions 1/4 by 1/3, you can utilize the rule for dividing fractions, which states that to divide by a fraction, you multiply by its reciprocal.

In this case, the reciprocal of 1/3 is 3/1. Therefore, dividing 1/4 by 1/3 translates to multiplying 1/4 by 3/1:

1/4 ÷ 1/3 = 1/4 × 3/1.

When you multiply the numerators together and the denominators together, the computation becomes:

(1 × 3) / (4 × 1) = 3 / 4.

Thus, the result of dividing 1/4 by 1/3 is 3/4. This process illustrates how division of fractions works through the multiplication of the first fraction by the reciprocal of the second, leading to the correct answer, which confirms the arithmetic involved in simplifying and correctly handling fraction operations.