Solve 811/12-23/8

$$8 \frac { 11 } { 12 } - 2 \frac { 3 } { 8 }$$

Evaluate

$$\frac{157}{24}\approx 6.541666667$$

Solution Steps

Multiply 8 and 12 to get 96.

$$\frac{96+11}{12}-\frac{2\times 8+3}{8}$$

Add 96 and 11 to get 107.

$$\frac{107}{12}-\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{107}{12}-\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{107}{12}-\frac{19}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{107}{12} and \frac{19}{8} to fractions with denominator 24.

$$\frac{214}{24}-\frac{57}{24}$$

Since \frac{214}{24} and \frac{57}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{214-57}{24}$$

Subtract 57 from 214 to get 157.

$$\frac{157}{24}$$

Factor

$$\frac{157}{2 ^ {3} \cdot 3} = 6\frac{13}{24} = 6.541666666666667$$