Solve -1/12-1/38=1/f

$$\frac { - 1 } { 12 } - \frac { 1 } { 38 } = \frac { 1 } { f }$$

Solve for f

$$f = -\frac{228}{25} = -9\frac{3}{25} = -9.12$$

Steps for Solving Linear Equation

Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 228f, the least common multiple of 12,38,f.

$$19f\left(-1\right)+228f\left(-\frac{1}{38}\right)=228$$

Multiply 19 and -1 to get -19.

$$-19f+228f\left(-\frac{1}{38}\right)=228$$

Express 228\left(-\frac{1}{38}\right) as a single fraction.

$$-19f+\frac{228\left(-1\right)}{38}f=228$$

Multiply 228 and -1 to get -228.

$$-19f+\frac{-228}{38}f=228$$

Divide -228 by 38 to get -6.

$$-19f-6f=228$$

Combine -19f and -6f to get -25f.

$$-25f=228$$

Divide both sides by -25.

$$f=\frac{228}{-25}$$

Fraction \frac{228}{-25} can be rewritten as -\frac{228}{25} by extracting the negative sign.

$$f=-\frac{228}{25}$$