Solve {c}{23.53/8+(-1/6)}{-12/8}

$$\left. \begin{array} { c } { 23.5 \frac { 3 } { 8 } + ( - \frac { 1 } { 6 } ) } \\ { - 1 \frac { 2 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{539}{24}\approx 22.458333333$$

Solution Steps

Multiply 23.5 and 8 to get 188.

$$\frac{188+3}{8}-\frac{1}{6}-\frac{1\times 8+2}{8}$$

Add 188 and 3 to get 191.

$$\frac{191}{8}-\frac{1}{6}-\frac{1\times 8+2}{8}$$

Least common multiple of 8 and 6 is 24. Convert \frac{191}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{573}{24}-\frac{4}{24}-\frac{1\times 8+2}{8}$$

Since \frac{573}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{573-4}{24}-\frac{1\times 8+2}{8}$$

Subtract 4 from 573 to get 569.

$$\frac{569}{24}-\frac{1\times 8+2}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{569}{24}-\frac{8+2}{8}$$

Add 8 and 2 to get 10.

$$\frac{569}{24}-\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{569}{24}-\frac{5}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{569}{24} and \frac{5}{4} to fractions with denominator 24.

$$\frac{569}{24}-\frac{30}{24}$$

Since \frac{569}{24} and \frac{30}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{569-30}{24}$$

Subtract 30 from 569 to get 539.

$$\frac{539}{24}$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{3 \cdot 2 ^ {3}} = 22\frac{11}{24} = 22.458333333333332$$