Question

Give a counter example to this statement. The quotient of two fractions between 0 and 1 is always a whole number.

Answer 1

$0< \frac{1}{6} <1 \\ 0< \frac{1}{3} <1 \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{3}{6} = \frac{1}{2}$

Answer 2

There are many counter examples to this. People seem to think multiplying two fractions will get you a whole number but it definitely isn't the case. Just take 1/2 and 2/3 as an example:

1/2 ÷ 2/3 (dividing is the same as multiplying by the reciprocal)

1/2 * 3/2 is 3/4 and that is not a whole number. Hope this helped.