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

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

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Convert 1 to fraction \frac{6}{6}.

$$\frac{6}{6}+\frac{5}{6}-\frac{5}{8}$$

Since \frac{6}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{6}-\frac{5}{8}$$

Add 6 and 5 to get 11.

$$\frac{11}{6}-\frac{5}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{11}{6} and \frac{5}{8} to fractions with denominator 24.

$$\frac{44}{24}-\frac{15}{24}$$

Since \frac{44}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-15}{24}$$

Subtract 15 from 44 to get 29.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$