Solve 1/6N-7/12=1/8

$$\frac { 1 } { 6 } N - \frac { 7 } { 12 } = \frac { 1 } { 8 }$$

Solve for N

$$N = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

Add \frac{7}{12} to both sides.

$$\frac{1}{6}N=\frac{1}{8}+\frac{7}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{1}{8} and \frac{7}{12} to fractions with denominator 24.

$$\frac{1}{6}N=\frac{3}{24}+\frac{14}{24}$$

Since \frac{3}{24} and \frac{14}{24} have the same denominator, add them by adding their numerators.

$$\frac{1}{6}N=\frac{3+14}{24}$$

Add 3 and 14 to get 17.

$$\frac{1}{6}N=\frac{17}{24}$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$N=\frac{17}{24}\times 6$$

Express \frac{17}{24}\times 6 as a single fraction.

$$N=\frac{17\times 6}{24}$$

Multiply 17 and 6 to get 102.

$$N=\frac{102}{24}$$

Reduce the fraction \frac{102}{24} to lowest terms by extracting and canceling out 6.

$$N=\frac{17}{4}$$