Solve 5/6-2/7

$$\frac { 5 } { 6 } - \frac { 2 } { 7 }$$

Evaluate

$$\frac{23}{42}\approx 0.547619048$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{5}{6} and \frac{2}{7} to fractions with denominator 42.

$$\frac{35}{42}-\frac{12}{42}$$

Since \frac{35}{42} and \frac{12}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{42}$$

Subtract 12 from 35 to get 23.

$$\frac{23}{42}$$

Factor

$$\frac{23}{2 \cdot 3 \cdot 7} = 0.5476190476190477$$