Answer:
The number is equal to [tex]\frac{5}{27}[/tex]
Step-by-step explanation:
Let x be this number. The quotient of -5 and x is equal to [tex]\frac{-5}{x}[/tex]. If we increase it by 12, we add 12. This is equal to -15, so we can write the information as [tex]\frac{-5}{x}+12=-15[/tex].
Substract 12 from both sides to obtain [tex]\frac{-5}{x}=-27[/tex].
Divide by -5 in both sides to get [tex]\frac{1}{x}=\frac{27}{5}[/tex]
Finally, take reciprocals in both sides of the equation to obtain [tex]x=\frac{5}{27}[/tex].
