Solve 19/11-6/21=

$$\frac { 19 } { 11 } - \frac { 6 } { 21 } =$$

Evaluate

$$\frac{111}{77}\approx 1.441558442$$

Solution Steps

Reduce the fraction \frac{6}{21} to lowest terms by extracting and canceling out 3.

$$\frac{19}{11}-\frac{2}{7}$$

Least common multiple of 11 and 7 is 77. Convert \frac{19}{11} and \frac{2}{7} to fractions with denominator 77.

$$\frac{133}{77}-\frac{22}{77}$$

Since \frac{133}{77} and \frac{22}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133-22}{77}$$

Subtract 22 from 133 to get 111.

$$\frac{111}{77}$$

Factor

$$\frac{3 \cdot 37}{7 \cdot 11} = 1\frac{34}{77} = 1.4415584415584415$$