Solve 29/30-6/12

$$\frac { 29 } { 30 } - \frac { 6 } { 12 }$$

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{29}{30}-\frac{1}{2}$$

Least common multiple of 30 and 2 is 30. Convert \frac{29}{30} and \frac{1}{2} to fractions with denominator 30.

$$\frac{29}{30}-\frac{15}{30}$$

Since \frac{29}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-15}{30}$$

Subtract 15 from 29 to get 14.

$$\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$