Solve 1/5-3/4x+3/10x

$$\frac{ 1 }{ 5 } - \frac{ 3 }{ 4x } + \frac{ 3 }{ 10x }$$

Evaluate

$$\frac{1}{5}-\frac{9}{20x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 4x is 20x. Multiply \frac{1}{5} times \frac{4x}{4x}. Multiply \frac{3}{4x} times \frac{5}{5}.

$$\frac{4x}{20x}-\frac{3\times 5}{20x}+\frac{3}{10x}$$

Since \frac{4x}{20x} and \frac{3\times 5}{20x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x-3\times 5}{20x}+\frac{3}{10x}$$

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

$$\frac{4x-15}{20x}+\frac{3}{10x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 20x and 10x is 20x. Multiply \frac{3}{10x} times \frac{2}{2}.

$$\frac{4x-15}{20x}+\frac{3\times 2}{20x}$$

Since \frac{4x-15}{20x} and \frac{3\times 2}{20x} have the same denominator, add them by adding their numerators.

$$\frac{4x-15+3\times 2}{20x}$$

Do the multiplications in 4x-15+3\times 2.

$$\frac{4x-15+6}{20x}$$

Combine like terms in 4x-15+6.

$$\frac{4x-9}{20x}$$

Factor

$$\frac{4x-9}{20x}$$