Solve 4/f^2g-3/5fg

$$\frac { 4 } { f ^ { 2 } g } - \frac { 3 } { 5 f g }$$

Evaluate

$$-\frac{3f-20}{5gf^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of f^{2}g and 5fg is 5gf^{2}. Multiply \frac{4}{f^{2}g} times \frac{5}{5}. Multiply \frac{3}{5fg} times \frac{f}{f}.

$$\frac{4\times 5}{5gf^{2}}-\frac{3f}{5gf^{2}}$$

Since \frac{4\times 5}{5gf^{2}} and \frac{3f}{5gf^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 5-3f}{5gf^{2}}$$

Do the multiplications in 4\times 5-3f.

$$\frac{20-3f}{5gf^{2}}$$

Factor

$$-\frac{3f-20}{5gf^{2}}$$