Question

By what should (-12)^-1 be divided so that the quotient is (2/3)^-1

Answer 1

Let the number used to divide=x

-12^(-1)/x= (2/3^)(-1)

-12^(-1)= (2×x/3)^-1

12=(2×x/3)^-1

12=(2×x)^-1/3^-1

12=-2×x/-3

12×-3=-2×x

-36=-2×x

-36/-2=x

x=18

18 is the number which should -12^(-1) be divided so that the quotient may be (2/3)^-1