Solve f-8/3=-5/6

$$f - \frac { 8 } { 3 } = \frac { - 5 } { 6 }$$

Solve for f

$$f = \frac{11}{6} = 1\frac{5}{6} \approx 1.833333333$$

Steps for Solving Linear Equation

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$f-\frac{8}{3}=-\frac{5}{6}$$

Add \frac{8}{3} to both sides.

$$f=-\frac{5}{6}+\frac{8}{3}$$

Least common multiple of 6 and 3 is 6. Convert -\frac{5}{6} and \frac{8}{3} to fractions with denominator 6.

$$f=-\frac{5}{6}+\frac{16}{6}$$

Since -\frac{5}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$f=\frac{-5+16}{6}$$

Add -5 and 16 to get 11.

$$f=\frac{11}{6}$$