Solve 2/3y^2-5/6y^3

$$\frac { 2 } { 3 y ^ { 2 } } - \frac { 5 } { 6 y ^ { 3 } }$$

Evaluate

$$\frac{4y-5}{6y^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3y^{2} and 6y^{3} is 6y^{3}. Multiply \frac{2}{3y^{2}} times \frac{2y}{2y}.

$$\frac{2\times 2y}{6y^{3}}-\frac{5}{6y^{3}}$$

Since \frac{2\times 2y}{6y^{3}} and \frac{5}{6y^{3}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 2y-5}{6y^{3}}$$

Do the multiplications in 2\times 2y-5.

$$\frac{4y-5}{6y^{3}}$$

Factor

$$\frac{4y-5}{6y^{3}}$$