Since the divisor b is a positive fraction strictly less than 1, its reciprocal (1)/(b) must be strictly greater than 1. For example, if b = (1)/(2), its reciprocal is (2)/(1) = 2, which is greater than 1.

Since the divisor b is a positive fraction strictly less than 1, its reciprocal (1)/(b) must be strictly greater than 1. For example, if b = (1)/(2), its reciprocal is (2)/(1) = 2, which is greater than 1.

When you divide a positive fraction by a fraction less than 1, the quotient is always: Smaller than the dividend Equal to the dividend Larger than the dividend Zero

Answer: Larger than the dividend

Step-by-step solution

Step 1: Express the division using reciprocal multiplication

Let the positive dividend fraction be $a$ , where $a > 0$ , and the divisor fraction be $b$ , where $0 < b < 1$ . Dividing by a fraction is equivalent to multiplying by its reciprocal, $\frac{1}{b}$ .

Step 2: Analyze the reciprocal of a fraction less than 1

Since the divisor $b$ is a positive fraction strictly less than 1, its reciprocal $\frac{1}{b}$ must be strictly greater than 1. For example, if $b = \frac{1}{2}$ , its reciprocal is $\frac{2}{1} = 2$ , which is greater than 1.

Step 3: Compare the quotient with the dividend

Multiplying any positive number $a$ by a factor greater than 1 produces a result strictly greater than $a$ . Therefore, the quotient is always larger than the dividend.

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