Solve 51/8-5/6

$$5 \frac { 1 } { 8 } - \frac { 5 } { 6 }$$

Evaluate

$$\frac{103}{24}\approx 4.291666667$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+1}{8}-\frac{5}{6}$$

Add 40 and 1 to get 41.

$$\frac{41}{8}-\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{41}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{123}{24}-\frac{20}{24}$$

Since \frac{123}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123-20}{24}$$

Subtract 20 from 123 to get 103.

$$\frac{103}{24}$$

Factor

$$\frac{103}{2 ^ {3} \cdot 3} = 4\frac{7}{24} = 4.291666666666667$$