Solve (5n-4/5-1/5)

$$( 5 n - \frac { 4 } { 5 } - \frac { 1 } { 5 } )$$

Evaluate

$$5n-1$$

Solution Steps

Since -\frac{4}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$5n+\frac{-4-1}{5}$$

Subtract 1 from -4 to get -5.

$$5n+\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$5n-1$$

Factor

$$5n-1$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{25n-5}{5}$$

Consider 25n-4-1. Multiply and combine like terms.

$$25n-5$$

Consider 25n-5. Factor out 5.

$$5\left(5n-1\right)$$

Rewrite the complete factored expression.

$$5n-1$$