Give an example of two ordinary fractions, the quotient of which is a negative integer.

In order for the quotient of ordinary fractions to be negative, you need to choose fractions so that one of them is negative. For the quotient to be an integer, you need to divide the large fraction by the smaller one, observing the rules of integer division. A smaller fraction is a fraction with a large denominator. For example, 1/2 ÷ – (1/6) = – 3. To perform division, move the denominator of each fraction to the numerator of the common fraction (1 × 6) / – (1 × 2). Next, you need to reduce 6 and 2. 2 will be removed from the denominator and -1 remains. The numerator is 3. If you divide 3 by -1, you get -3. Now I will give a few more examples without comments.

– (1/5) ÷ 1/10 = – (1 × 10) / (1 × 5) = -10/5 = -2;

(1/8) ÷ – (1/16) = (1 × 16) / – (1 × 8) = 16 / -8 = -2;

(1/4) ÷ – (1/36) = (1 × 36) / – (1 × 4) = 36 / -4 = -9.