Solve 3/10x+9/14x^2

$$\frac{ 3 }{ 10x } + \frac{ 9 }{ 14 { x }^{ 2 } }$$

Evaluate

$$\frac{3}{10x}+\frac{9}{14x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10x and 14x^{2} is 70x^{2}. Multiply \frac{3}{10x} times \frac{7x}{7x}. Multiply \frac{9}{14x^{2}} times \frac{5}{5}.

$$\frac{3\times 7x}{70x^{2}}+\frac{9\times 5}{70x^{2}}$$

Since \frac{3\times 7x}{70x^{2}} and \frac{9\times 5}{70x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{3\times 7x+9\times 5}{70x^{2}}$$

Do the multiplications in 3\times 7x+9\times 5.

$$\frac{21x+45}{70x^{2}}$$

Factor

$$\frac{3\left(7x+15\right)}{70x^{2}}$$