Solve 5x/4+2x/3

$$\frac { 5 x } { 4 } + \frac { 2 x } { 3 }$$

Evaluate

$$\frac{23x}{12}$$

Short Solution Steps

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

$$\frac{3\times 5x}{12}+\frac{4\times 2x}{12}$$

Since \frac{3\times 5x}{12} and \frac{4\times 2x}{12} have the same denominator, add them by adding their numerators.

$$\frac{3\times 5x+4\times 2x}{12}$$

Do the multiplications in 3\times 5x+4\times 2x.

$$\frac{15x+8x}{12}$$

Combine like terms in 15x+8x.

$$\frac{23x}{12}$$

Differentiate w.r.t. x

$$\frac{23}{12} = 1\frac{11}{12} = 1.9166666666666667$$