Solve 81/12-7/8approx

$$8 \frac { 1 } { 12 } - \frac { 7 } { 8 } \approx$$

Evaluate

$$\frac{173}{24}\approx 7.208333333$$

Solution Steps

Multiply 8 and 12 to get 96.

$$\frac{96+1}{12}-\frac{7}{8}$$

Add 96 and 1 to get 97.

$$\frac{97}{12}-\frac{7}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{97}{12} and \frac{7}{8} to fractions with denominator 24.

$$\frac{194}{24}-\frac{21}{24}$$

Since \frac{194}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{194-21}{24}$$

Subtract 21 from 194 to get 173.

$$\frac{173}{24}$$

Factor

$$\frac{173}{2 ^ {3} \cdot 3} = 7\frac{5}{24} = 7.208333333333333$$