Solve -39/14-22/21

$$- \frac { 39 } { 14 } - \frac { 22 } { 21 }$$

Evaluate

$$-\frac{23}{6}\approx -3.833333333$$

Solution Steps

Least common multiple of 14 and 21 is 42. Convert -\frac{39}{14} and \frac{22}{21} to fractions with denominator 42.

$$-\frac{117}{42}-\frac{44}{42}$$

Since -\frac{117}{42} and \frac{44}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-117-44}{42}$$

Subtract 44 from -117 to get -161.

$$\frac{-161}{42}$$

Reduce the fraction \frac{-161}{42} to lowest terms by extracting and canceling out 7.

$$-\frac{23}{6}$$

Factor

$$-\frac{23}{6} = -3\frac{5}{6} = -3.8333333333333335$$