Final answer:
Dividing by a fraction less than 1, such as 1/4, results in a quotient greater than the dividend because it is the same as multiplying by the reciprocal of the fraction. For instance, dividing by 1/4 is equivalent to multiplying by 4.
Step-by-step explanation:
The question is asking to explain why the quotient is greater when dividing by a fraction less than 1, such as 1/4. It revolves around the fact that dividing by a fraction is the same as multiplying by its reciprocal. In this case, dividing by 1/4 is equivalent to multiplying by the reciprocal which is 4/1 or just 4. Therefore, when you divide a number by 1/4, you are effectively multiplying the dividend by 4, causing the quotient to be larger than the original number (the dividend). For example, if you divide 12 by 1/4, you get 12 * 4/1, which equals 48. This is clearly larger than the original dividend, which was 12.