Solve x/6+4/7

$$\frac { x } { 6 } + \frac { 4 } { 7 }$$

Evaluate

$$\frac{x}{6}+\frac{4}{7}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 7 is 42. Multiply \frac{x}{6} times \frac{7}{7}. Multiply \frac{4}{7} times \frac{6}{6}.

$$\frac{7x}{42}+\frac{4\times 6}{42}$$

Since \frac{7x}{42} and \frac{4\times 6}{42} have the same denominator, add them by adding their numerators.

$$\frac{7x+4\times 6}{42}$$

Do the multiplications in 7x+4\times 6.

$$\frac{7x+24}{42}$$

Factor

$$\frac{7x+24}{42}$$

Solution Steps

Factor out \frac{1}{42}.

$$\frac{7x+24}{42}$$