Question

-1/2 divided by what equals -7/3

Answer 1

(-1/2)/x = -7/3

*multiply both sides by x

(-1/2) = (-7/3)x

*divide both sides by (-7/3)

(-1/2)/(-7/3) = x

dividing by a fraction is the same as multiplying by it's reciprocal:

x = (-1/2)*(-3/7)

* the negative SIGNS cancel

x = (1/2)*(3/7)

x = (1*3)/(2*7)

x = 3/14

Answer 2

(-1/2)/x = -7/3

*multiply both sides by x

(-1/2) = (-7/3)x

*divide both sides by (-7/3)

(-1/2)/(-7/3) = x

dividing by a fraction is the same as multiplying by it's reciprocal:

x = (-1/2)*(-3/7)

* the negative signs cancel

x = (1/2)*(3/7)

x = (1*3)/(2*7)

x = 3/14