Solve -1/2-4/3w=4/5

$$- \frac { 1 } { 2 } - \frac { 4 } { 3 } w = \frac { 4 } { 5 }$$

Solve for w

$$w=-\frac{39}{40}=-0.975$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

$$-\frac{4}{3}w=\frac{4}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$-\frac{4}{3}w=\frac{8}{10}+\frac{5}{10}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$-\frac{4}{3}w=\frac{8+5}{10}$$

Add 8 and 5 to get 13.

$$-\frac{4}{3}w=\frac{13}{10}$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$w=\frac{13}{10}\left(-\frac{3}{4}\right)$$

Multiply \frac{13}{10} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$w=\frac{13\left(-3\right)}{10\times 4}$$

Do the multiplications in the fraction \frac{13\left(-3\right)}{10\times 4}.

$$w=\frac{-39}{40}$$

Fraction \frac{-39}{40} can be rewritten as -\frac{39}{40} by extracting the negative sign.

$$w=-\frac{39}{40}$$