Solve x-1/5-1/4-1/6=115

$$x- \frac{ 1 }{ 5 } - \frac{ 1 }{ 4 } - \frac{ 1 }{ 6 } =115$$

Solve for x

$$x = \frac{6937}{60} = 115\frac{37}{60} \approx 115.616666667$$

Steps for Solving Linear Equation

Least common multiple of 5 and 4 is 20. Convert -\frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$x-\frac{4}{20}-\frac{5}{20}-\frac{1}{6}=115$$

Since -\frac{4}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-4-5}{20}-\frac{1}{6}=115$$

Subtract 5 from -4 to get -9.

$$x-\frac{9}{20}-\frac{1}{6}=115$$

Least common multiple of 20 and 6 is 60. Convert -\frac{9}{20} and \frac{1}{6} to fractions with denominator 60.

$$x-\frac{27}{60}-\frac{10}{60}=115$$

Since -\frac{27}{60} and \frac{10}{60} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-27-10}{60}=115$$

Subtract 10 from -27 to get -37.

$$x-\frac{37}{60}=115$$

Add \frac{37}{60} to both sides.

$$x=115+\frac{37}{60}$$

Convert 115 to fraction \frac{6900}{60}.

$$x=\frac{6900}{60}+\frac{37}{60}$$

Since \frac{6900}{60} and \frac{37}{60} have the same denominator, add them by adding their numerators.

$$x=\frac{6900+37}{60}$$

Add 6900 and 37 to get 6937.

$$x=\frac{6937}{60}$$