Solve 8/9t^3+5/6t^2

$$\frac { 8 } { 9 t ^ { 3 } } + \frac { 5 } { 6 t ^ { 2 } }$$

Evaluate

$$\frac{15t+16}{18t^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9t^{3} and 6t^{2} is 18t^{3}. Multiply \frac{8}{9t^{3}} times \frac{2}{2}. Multiply \frac{5}{6t^{2}} times \frac{3t}{3t}.

$$\frac{8\times 2}{18t^{3}}+\frac{5\times 3t}{18t^{3}}$$

Since \frac{8\times 2}{18t^{3}} and \frac{5\times 3t}{18t^{3}} have the same denominator, add them by adding their numerators.

$$\frac{8\times 2+5\times 3t}{18t^{3}}$$

Do the multiplications in 8\times 2+5\times 3t.

$$\frac{16+15t}{18t^{3}}$$

Factor

$$\frac{15t+16}{18t^{3}}$$