Solve 5x/4+x/6

$$\frac { 5 x } { 4 } + \frac { x } { 6 }$$

Evaluate

$$\frac{17x}{12}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 6 is 12. Multiply \frac{5x}{4} times \frac{3}{3}. Multiply \frac{x}{6} times \frac{2}{2}.

$$\frac{3\times 5x}{12}+\frac{2x}{12}$$

Since \frac{3\times 5x}{12} and \frac{2x}{12} have the same denominator, add them by adding their numerators.

$$\frac{3\times 5x+2x}{12}$$

Do the multiplications in 3\times 5x+2x.

$$\frac{15x+2x}{12}$$

Combine like terms in 15x+2x.

$$\frac{17x}{12}$$

Differentiate w.r.t. x

$$\frac{17}{12} = 1\frac{5}{12} = 1.4166666666666667$$