Solve -4/5>2/3d

$$- \frac { 4 } { 5 } > \frac { 2 } { 3 } d$$

Solve for d

$$d<-\frac{6}{5}$$

Solution Steps

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.

$$-\frac{4}{5}\times \frac{3}{2}>d$$

Multiply -\frac{4}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 3}{5\times 2}>d$$

Do the multiplications in the fraction \frac{-4\times 3}{5\times 2}.

$$\frac{-12}{10}>d$$

Reduce the fraction \frac{-12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{5}>d$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$d<-\frac{6}{5}$$