Solve -5/3+1/4w=-8/5

$$- \frac { 5 } { 3 } + \frac { 1 } { 4 } w = - \frac { 8 } { 5 }$$

Solve for w

$$w=\frac{4}{15}\approx 0.266666667$$

Steps for Solving Linear Equation

Add \frac{5}{3} to both sides.

$$\frac{1}{4}w=-\frac{8}{5}+\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{8}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{1}{4}w=-\frac{24}{15}+\frac{25}{15}$$

Since -\frac{24}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}w=\frac{-24+25}{15}$$

Add -24 and 25 to get 1.

$$\frac{1}{4}w=\frac{1}{15}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$w=\frac{1}{15}\times 4$$

Multiply \frac{1}{15} and 4 to get \frac{4}{15}.

$$w=\frac{4}{15}$$