Solve {l}{5/6-7/8}{+1/12}

$$\left. \begin{array} { l } { 5 / 6 - 7 / 8 } \\ { + 1 / 12 } \end{array} \right.$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{7}{8} to fractions with denominator 24.

$$\frac{20}{24}-\frac{21}{24}+\frac{1}{12}$$

Since \frac{20}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-21}{24}+\frac{1}{12}$$

Subtract 21 from 20 to get -1.

$$-\frac{1}{24}+\frac{1}{12}$$

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

$$-\frac{1}{24}+\frac{2}{24}$$

Since -\frac{1}{24} and \frac{2}{24} have the same denominator, add them by adding their numerators.

$$\frac{-1+2}{24}$$

Add -1 and 2 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$