Solve 82/6-58/8=

$$\frac { 82 } { 6 } - \frac { 58 } { 8 } =$$

Evaluate

$$\frac{77}{12}\approx 6.416666667$$

Solution Steps

Reduce the fraction \frac{82}{6} to lowest terms by extracting and canceling out 2.

$$\frac{41}{3}-\frac{58}{8}$$

Reduce the fraction \frac{58}{8} to lowest terms by extracting and canceling out 2.

$$\frac{41}{3}-\frac{29}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{41}{3} and \frac{29}{4} to fractions with denominator 12.

$$\frac{164}{12}-\frac{87}{12}$$

Since \frac{164}{12} and \frac{87}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{164-87}{12}$$

Subtract 87 from 164 to get 77.

$$\frac{77}{12}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6.416666666666667$$