Solve 10*93/8-55/6

$$10 \cdot 9 \frac { 3 } { 8 } - 5 \frac { 5 } { 6 }$$

Evaluate

$$\frac{1055}{12}\approx 87.916666667$$

Solution Steps

Multiply 9 and 8 to get 72.

$$10\times \frac{72+3}{8}-\frac{5\times 6+5}{6}$$

Add 72 and 3 to get 75.

$$10\times \frac{75}{8}-\frac{5\times 6+5}{6}$$

Express 10\times \frac{75}{8} as a single fraction.

$$\frac{10\times 75}{8}-\frac{5\times 6+5}{6}$$

Multiply 10 and 75 to get 750.

$$\frac{750}{8}-\frac{5\times 6+5}{6}$$

Reduce the fraction \frac{750}{8} to lowest terms by extracting and canceling out 2.

$$\frac{375}{4}-\frac{5\times 6+5}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{375}{4}-\frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{375}{4}-\frac{35}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{375}{4} and \frac{35}{6} to fractions with denominator 12.

$$\frac{1125}{12}-\frac{70}{12}$$

Since \frac{1125}{12} and \frac{70}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1125-70}{12}$$

Subtract 70 from 1125 to get 1055.

$$\frac{1055}{12}$$

Factor

$$\frac{5 \cdot 211}{2 ^ {2} \cdot 3} = 87\frac{11}{12} = 87.91666666666667$$