Solve 9-11/12-5/8=

$$9- \frac{ 11 }{ 12 } - \frac{ 5 }{ 8 } =$$

Evaluate

$$\frac{179}{24}\approx 7.458333333$$

Solution Steps

Convert 9 to fraction \frac{108}{12}.

$$\frac{108}{12}-\frac{11}{12}-\frac{5}{8}$$

Since \frac{108}{12} and \frac{11}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-11}{12}-\frac{5}{8}$$

Subtract 11 from 108 to get 97.

$$\frac{97}{12}-\frac{5}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{97}{12} and \frac{5}{8} to fractions with denominator 24.

$$\frac{194}{24}-\frac{15}{24}$$

Since \frac{194}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{194-15}{24}$$

Subtract 15 from 194 to get 179.

$$\frac{179}{24}$$

Factor

$$\frac{179}{2 ^ {3} \cdot 3} = 7\frac{11}{24} = 7.458333333333333$$