Solve 19/12-25/21

$$\frac { 19 } { 12 } - \frac { 25 } { 21 }$$

Evaluate

$$\frac{11}{28}\approx 0.392857143$$

Solution Steps

Least common multiple of 12 and 21 is 84. Convert \frac{19}{12} and \frac{25}{21} to fractions with denominator 84.

$$\frac{133}{84}-\frac{100}{84}$$

Since \frac{133}{84} and \frac{100}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133-100}{84}$$

Subtract 100 from 133 to get 33.

$$\frac{33}{84}$$

Reduce the fraction \frac{33}{84} to lowest terms by extracting and canceling out 3.

$$\frac{11}{28}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$