Solve 2x/3+3x/4

$$\frac { 2 x } { 3 } + \frac { 3 x } { 4 }$$

Evaluate

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

Short Solution Steps

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

$$\frac{4\times 2x}{12}+\frac{3\times 3x}{12}$$

Since \frac{4\times 2x}{12} and \frac{3\times 3x}{12} have the same denominator, add them by adding their numerators.

$$\frac{4\times 2x+3\times 3x}{12}$$

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

$$\frac{8x+9x}{12}$$

Combine like terms in 8x+9x.

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

Differentiate w.r.t. x

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