Solve 1-5(m+1)/3-1-5m/3

$$\frac { 1 - 5 ( m + 1 ) } { 3 } - \frac { 1 - 5 m } { 3 }$$

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Short Solution Steps

Since \frac{1-5\left(m+1\right)}{3} and \frac{1-5m}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5\left(m+1\right)-\left(1-5m\right)}{3}$$

Do the multiplications in 1-5\left(m+1\right)-\left(1-5m\right).

$$\frac{1-5m-5-1+5m}{3}$$

Combine like terms in 1-5m-5-1+5m.

$$\frac{-5}{3}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$-\frac{5}{3}$$

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{1-5\left(m+1\right)-\left(1-5m\right)}{3}$$

Simplify.

$$-\frac{5}{3}$$