Express the decimal numbers as fractions:
-15.66 =
First, write the decimal as a fraction with a denominator = 1
-15.66/1
Multiply the numerator and denominator by 10^2
-1566/100 = -783/50
Same for the other number:
5.8
5.8/1 = 58/10 = 29/5
Equivalent expression:
-783/50 / ( 29/5)
Quotient:
-783/50 x 5/29 = - 3915/1450 = -27/10 = -2.7