By working through problems like (1/8) ÷ (1/9), kids learn that dividing by a fraction is the same as multiplying by its reciprocal-so the problem becomes (1/8) x (9/1) = 9/8. This reinforces several key ideas at once: the meaning of division as "how many of one quantity fit into another," the concept of a reciprocal (flipping numerator and denominator), and the procedure for multiplying fractions (multiply numerators, multiply denominators, then simplify).