Solve 13x/6-4x/3

$$\frac { 13 x } { 6 } - \frac { 4 x } { 3 }$$

Evaluate

$$\frac{5x}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{4x}{3} times \frac{2}{2}.

$$\frac{13x}{6}-\frac{2\times 4x}{6}$$

Since \frac{13x}{6} and \frac{2\times 4x}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13x-2\times 4x}{6}$$

Do the multiplications in 13x-2\times 4x.

$$\frac{13x-8x}{6}$$

Combine like terms in 13x-8x.

$$\frac{5x}{6}$$

Differentiate w.r.t. x

$$\frac{5}{6} = 0.8333333333333334$$