Solve 5/6-1/14-1/15

$$\frac{ 5 }{ 6 } - \frac{ 1 }{ 14 } - \frac{ 1 }{ 15 }$$

Evaluate

$$\frac{73}{105}\approx 0.695238095$$

Solution Steps

Least common multiple of 6 and 14 is 42. Convert \frac{5}{6} and \frac{1}{14} to fractions with denominator 42.

$$\frac{35}{42}-\frac{3}{42}-\frac{1}{15}$$

Since \frac{35}{42} and \frac{3}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-3}{42}-\frac{1}{15}$$

Subtract 3 from 35 to get 32.

$$\frac{32}{42}-\frac{1}{15}$$

Reduce the fraction \frac{32}{42} to lowest terms by extracting and canceling out 2.

$$\frac{16}{21}-\frac{1}{15}$$

Least common multiple of 21 and 15 is 105. Convert \frac{16}{21} and \frac{1}{15} to fractions with denominator 105.

$$\frac{80}{105}-\frac{7}{105}$$

Since \frac{80}{105} and \frac{7}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-7}{105}$$

Subtract 7 from 80 to get 73.

$$\frac{73}{105}$$

Factor

$$\frac{73}{3 \cdot 5 \cdot 7} = 0.6952380952380952$$