Solve 5/6-(5/8+1/6)

$$\frac{ 5 }{ 6 } -( \frac{ 5 }{ 8 } + \frac{ 1 }{ 6 } )$$

Evaluate

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

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{5}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{5}{6}-\left(\frac{15}{24}+\frac{4}{24}\right)$$

Since \frac{15}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}-\frac{15+4}{24}$$

Add 15 and 4 to get 19.

$$\frac{5}{6}-\frac{19}{24}$$

Least common multiple of 6 and 24 is 24. Convert \frac{5}{6} and \frac{19}{24} to fractions with denominator 24.

$$\frac{20}{24}-\frac{19}{24}$$

Since \frac{20}{24} and \frac{19}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-19}{24}$$

Subtract 19 from 20 to get 1.

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

Factor

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