Solve 1/6+2x/5

$$\frac{ 1 }{ 6 } + \frac{ 2x }{ 5 }$$

Evaluate

$$\frac{2x}{5}+\frac{1}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 5 is 30. Multiply \frac{1}{6} times \frac{5}{5}. Multiply \frac{2x}{5} times \frac{6}{6}.

$$\frac{5}{30}+\frac{6\times 2x}{30}$$

Since \frac{5}{30} and \frac{6\times 2x}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+6\times 2x}{30}$$

Do the multiplications in 5+6\times 2x.

$$\frac{5+12x}{30}$$

Factor

$$\frac{12x+5}{30}$$

Solution Steps

Factor out \frac{1}{30}.

$$\frac{5+12x}{30}$$