Solve 4/25x+3/8x^2

$$\frac { 4 } { 25 x } + \frac { 3 } { 8 x ^ { 2 } }$$

Evaluate

$$\frac{4}{25x}+\frac{3}{8x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25x and 8x^{2} is 200x^{2}. Multiply \frac{4}{25x} times \frac{8x}{8x}. Multiply \frac{3}{8x^{2}} times \frac{25}{25}.

$$\frac{4\times 8x}{200x^{2}}+\frac{3\times 25}{200x^{2}}$$

Since \frac{4\times 8x}{200x^{2}} and \frac{3\times 25}{200x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{4\times 8x+3\times 25}{200x^{2}}$$

Do the multiplications in 4\times 8x+3\times 25.

$$\frac{32x+75}{200x^{2}}$$

Factor

$$\frac{32x+75}{200x^{2}}$$