Solve x-0.9=1/6

$$x - 0.9 = \frac { 1 } { 6 }$$

Solve for x

$$x = \frac{16}{15} = 1\frac{1}{15} \approx 1.066666667$$

Steps for Solving Linear Equation

Add 0.9 to both sides.

$$x=\frac{1}{6}+0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$x=\frac{1}{6}+\frac{9}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{1}{6} and \frac{9}{10} to fractions with denominator 30.

$$x=\frac{5}{30}+\frac{27}{30}$$

Since \frac{5}{30} and \frac{27}{30} have the same denominator, add them by adding their numerators.

$$x=\frac{5+27}{30}$$

Add 5 and 27 to get 32.

$$x=\frac{32}{30}$$

Reduce the fraction \frac{32}{30} to lowest terms by extracting and canceling out 2.

$$x=\frac{16}{15}$$