Solve 167/8-85/12

$$16 \frac { 7 } { 8 } - 8 \frac { 5 } { 12 }$$

Evaluate

$$\frac{203}{24}\approx 8.458333333$$

Solution Steps

Multiply 16 and 8 to get 128.

$$\frac{128+7}{8}-\frac{8\times 12+5}{12}$$

Add 128 and 7 to get 135.

$$\frac{135}{8}-\frac{8\times 12+5}{12}$$

Multiply 8 and 12 to get 96.

$$\frac{135}{8}-\frac{96+5}{12}$$

Add 96 and 5 to get 101.

$$\frac{135}{8}-\frac{101}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{135}{8} and \frac{101}{12} to fractions with denominator 24.

$$\frac{405}{24}-\frac{202}{24}$$

Since \frac{405}{24} and \frac{202}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-202}{24}$$

Subtract 202 from 405 to get 203.

$$\frac{203}{24}$$

Factor

$$\frac{7 \cdot 29}{2 ^ {3} \cdot 3} = 8\frac{11}{24} = 8.458333333333334$$