Solve 9/7-5/6

$$\frac { 9 } { 7 } - \frac { 5 } { 6 }$$

Evaluate

$$\frac{19}{42}\approx 0.452380952$$

Solution Steps

Least common multiple of 7 and 6 is 42. Convert \frac{9}{7} and \frac{5}{6} to fractions with denominator 42.

$$\frac{54}{42}-\frac{35}{42}$$

Since \frac{54}{42} and \frac{35}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-35}{42}$$

Subtract 35 from 54 to get 19.

$$\frac{19}{42}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 7} = 0.4523809523809524$$