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

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

Solve for w

$$w=-\frac{5}{24}\approx -0.208333333$$

Steps for Solving Linear Equation

Add \frac{1}{3} to both sides.

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

Least common multiple of 4 and 3 is 12. Convert -\frac{1}{4} and \frac{1}{3} to fractions with denominator 12.

$$-\frac{2}{5}w=-\frac{3}{12}+\frac{4}{12}$$

Since -\frac{3}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$-\frac{2}{5}w=\frac{-3+4}{12}$$

Add -3 and 4 to get 1.

$$-\frac{2}{5}w=\frac{1}{12}$$

Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}.

$$w=\frac{1}{12}\left(-\frac{5}{2}\right)$$

Multiply \frac{1}{12} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$w=\frac{1\left(-5\right)}{12\times 2}$$

Do the multiplications in the fraction \frac{1\left(-5\right)}{12\times 2}.

$$w=\frac{-5}{24}$$

Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} by extracting the negative sign.

$$w=-\frac{5}{24}$$