Solve 7x/6+20/6+1

$$\frac { 7 x } { 6 } + \frac { 20 } { 6 } + 1$$

Evaluate

$$\frac{7x}{6}+\frac{13}{3}$$

Short Solution Steps

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7x}{6}+\frac{10}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{7x}{6}+\frac{10}{3}+\frac{3}{3}$$

Since \frac{10}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{7x}{6}+\frac{10+3}{3}$$

Add 10 and 3 to get 13.

$$\frac{7x}{6}+\frac{13}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{13}{3} times \frac{2}{2}.

$$\frac{7x}{6}+\frac{13\times 2}{6}$$

Since \frac{7x}{6} and \frac{13\times 2}{6} have the same denominator, add them by adding their numerators.

$$\frac{7x+13\times 2}{6}$$

Do the multiplications in 7x+13\times 2.

$$\frac{7x+26}{6}$$

Factor

$$\frac{7x+26}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{7x+26}{6}$$

Consider 7x+20+6. Multiply and combine like terms.

$$7x+26$$

Rewrite the complete factored expression.

$$\frac{7x+26}{6}$$