Question

) find a numerator that makes the statement true. )) there may be more than one correct answer. the fraction you make must be greater than 0 and less than 1. the numerator must be a whole number. \\(\frac{7}{10} > \frac{square}{4}\\)

Explanation:

Step1: Let the numerator be \( x \). The inequality is \( \frac{7}{10} > \frac{x}{4} \), where \( 0 < \frac{x}{4} < 1 \) and \( x \) is a whole number. First, solve the inequality \( \frac{7}{10} > \frac{x}{4} \). Cross - multiply (since 10 and 4 are positive, the inequality sign remains the same) to get \( 7\times4>10x \), so \( 28 > 10x \), then \( x < \frac{28}{10}=2.8 \).

Step2: Also, from \( 0 < \frac{x}{4} \), we get \( x > 0 \), and from \( \frac{x}{4}<1 \), we get \( x < 4 \). Since \( x \) is a whole number and \( x < 2.8 \) and \( x>0 \), possible values of \( x \) are 1 or 2. Let's check \( x = 2 \): \( \frac{7}{10}=0.7 \), \( \frac{2}{4}=0.5 \), and \( 0.7>0.5 \). Check \( x = 1 \): \( \frac{1}{4}=0.25 \), and \( 0.7 > 0.25 \). Let's take \( x = 2 \) as an example (or 1).

Answer:

2 (or 1, either is correct as long as it meets the conditions)