The quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is

a. 23/93.
b. 75/373.
c. 115/465.
d. 93/23 or 4 1/23

A. 23/93
If you wish to divide by a fraction then this is the same as multiplying by that fraction after you swap the numerator and denominator of that fraction. So (5/31) / (15/23) is the same as (5/31) x (23/15). When multiplying fractions you multiply the numerators by each other, and place them as the numerator of the answer and then multiply the denominators and that becomes the denominator of your answer. In this case you now have (5x23)/(31x15). You wish to reduce the fraction so you have (5x23)/(31x5x3) if you factor them. A 5 may be removed from both the top and bottom leaving you (23)/(31x3), or 23/93