Solve 93/8-25/6

$$9 \frac { 3 } { 8 } - 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{157}{24}\approx 6.541666667$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+3}{8}-\frac{2\times 6+5}{6}$$

Add 72 and 3 to get 75.

$$\frac{75}{8}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{75}{8}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{75}{8}-\frac{17}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{75}{8} and \frac{17}{6} to fractions with denominator 24.

$$\frac{225}{24}-\frac{68}{24}$$

Since \frac{225}{24} and \frac{68}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-68}{24}$$

Subtract 68 from 225 to get 157.

$$\frac{157}{24}$$

Factor

$$\frac{157}{2 ^ {3} \cdot 3} = 6\frac{13}{24} = 6.541666666666667$$