Solve x^2-2y/frac{2{3}}

$$\frac { x ^ { 2 } - 2 y } { \frac { 2 } { 3 } }$$

Evaluate

$$\frac{3\left(x^{2}-2y\right)}{2}$$

Solution Steps

Divide x^{2}-2y by \frac{2}{3} by multiplying x^{2}-2y by the reciprocal of \frac{2}{3}.

$$\frac{\left(x^{2}-2y\right)\times 3}{2}$$

Use the distributive property to multiply x^{2}-2y by 3.

$$\frac{3x^{2}-6y}{2}$$

Expand

$$\frac{3x^{2}}{2}-3y$$

Solution Steps

Divide x^{2}-2y by \frac{2}{3} by multiplying x^{2}-2y by the reciprocal of \frac{2}{3}.

$$\frac{\left(x^{2}-2y\right)\times 3}{2}$$

Use the distributive property to multiply x^{2}-2y by 3.

$$\frac{3x^{2}-6y}{2}$$