Solve 4*x+1/2+2/3

$$4 \cdot x + \frac { 1 } { 2 } + \frac { 2 } { 3 }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$4x+\frac{3}{6}+\frac{4}{6}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$4x+\frac{3+4}{6}$$

Add 3 and 4 to get 7.

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

Factor

$$\frac{24x+7}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{24x+7}{6}$$

Consider 24x+3+4. Multiply and combine like terms.

$$24x+7$$

Rewrite the complete factored expression.

$$\frac{24x+7}{6}$$