Solve 58/8-12/8=

$$\frac { 58 } { 8 } - \frac { 12 } { 8 } =$$

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

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

$$\frac{29}{4}-\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{29}{4}-\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{29}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{29}{4}-\frac{6}{4}$$

Since \frac{29}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-6}{4}$$

Subtract 6 from 29 to get 23.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$