Solve 27x/25-9x/10

$$\frac { 27 x } { 25 } - \frac { 9 x } { 10 }$$

Evaluate

$$\frac{9x}{50}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 10 is 50. Multiply \frac{27x}{25} times \frac{2}{2}. Multiply \frac{9x}{10} times \frac{5}{5}.

$$\frac{2\times 27x}{50}-\frac{5\times 9x}{50}$$

Since \frac{2\times 27x}{50} and \frac{5\times 9x}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 27x-5\times 9x}{50}$$

Do the multiplications in 2\times 27x-5\times 9x.

$$\frac{54x-45x}{50}$$

Combine like terms in 54x-45x.

$$\frac{9x}{50}$$

Differentiate w.r.t. x

$$\frac{9}{50} = 0.18$$