Solve 27x/3-24/120+120/120

$$\frac { 27 x } { 3 } - \frac { 24 } { 120 } + \frac { 120 } { 120 }$$

Evaluate

$$9x+\frac{4}{5}$$

Solution Steps

Divide 120 by 120 to get 1.

$$\frac{27x}{3}-\frac{24}{120}+1$$

Divide 27x by 3 to get 9x.

$$9x-\frac{24}{120}+1$$

Reduce the fraction \frac{24}{120} to lowest terms by extracting and canceling out 24.

$$9x-\frac{1}{5}+1$$

Convert 1 to fraction \frac{5}{5}.

$$9x-\frac{1}{5}+\frac{5}{5}$$

Since -\frac{1}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$9x+\frac{-1+5}{5}$$

Add -1 and 5 to get 4.

$$9x+\frac{4}{5}$$

Factor

$$\frac{45x+4}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{45x+4}{5}$$

Consider 45x-1+5. Multiply and combine like terms.

$$45x+4$$

Rewrite the complete factored expression.

$$\frac{45x+4}{5}$$