Pre-Algebra could have contained a conceptual idea about deciding on inequality of two fractions. Pre-Algebra has a separate section for inequality in fractions. The multiplcation and division section has next two examples. Since Pre-Algebra gave the rule for dividing fractions before these examples, it is natural for teachers to expect that their students can solve these problems. But if teachers intend more than getting right answers from their students, these problems can be extended.
Teachers can explain the inequalities over the rational numbers.
When the divisor is less than the dividend, the quotient is greater than 1 as in Example 5. When the divisor is greater than the dividend, the quotient is less than 1 as in Example 6. Ofcourse there is a separate section in Pre-Algebra dealing with the inequalities over rational numbers. But the approach is based on the same skills as those used to solve inequalities over the integers. Pre-Algebra explains that if both sides of an inequality are multiplied or divided by the same positive number, the order of the resulting inequality is unchanged and if both sides of an inequality are multiplied or divided by the same negative number, the order of the resulting inequality is reversed.