Solve 85/6-5/8-27/12=

$$8 \frac { 5 } { 6 } - \frac { 5 } { 8 } - 2 \frac { 7 } { 12 } =$$

Evaluate

$$\frac{45}{8}=5.625$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+5}{6}-\frac{5}{8}-\frac{2\times 12+7}{12}$$

Add 48 and 5 to get 53.

$$\frac{53}{6}-\frac{5}{8}-\frac{2\times 12+7}{12}$$

Least common multiple of 6 and 8 is 24. Convert \frac{53}{6} and \frac{5}{8} to fractions with denominator 24.

$$\frac{212}{24}-\frac{15}{24}-\frac{2\times 12+7}{12}$$

Since \frac{212}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{212-15}{24}-\frac{2\times 12+7}{12}$$

Subtract 15 from 212 to get 197.

$$\frac{197}{24}-\frac{2\times 12+7}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{197}{24}-\frac{24+7}{12}$$

Add 24 and 7 to get 31.

$$\frac{197}{24}-\frac{31}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{197}{24} and \frac{31}{12} to fractions with denominator 24.

$$\frac{197}{24}-\frac{62}{24}$$

Since \frac{197}{24} and \frac{62}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{197-62}{24}$$

Subtract 62 from 197 to get 135.

$$\frac{135}{24}$$

Reduce the fraction \frac{135}{24} to lowest terms by extracting and canceling out 3.

$$\frac{45}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {3}} = 5\frac{5}{8} = 5.625$$