Solve 1/7=n+5/6

$$\frac { 1 } { 7 } = n + \frac { 5 } { 6 }$$

Solve for n

$$n=-\frac{29}{42}\approx -0.69047619$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$n+\frac{5}{6}=\frac{1}{7}$$

Subtract \frac{5}{6} from both sides.

$$n=\frac{1}{7}-\frac{5}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{1}{7} and \frac{5}{6} to fractions with denominator 42.

$$n=\frac{6}{42}-\frac{35}{42}$$

Since \frac{6}{42} and \frac{35}{42} have the same denominator, subtract them by subtracting their numerators.

$$n=\frac{6-35}{42}$$

Subtract 35 from 6 to get -29.

$$n=-\frac{29}{42}$$