Solve -11/42-11/70

$$- \frac { 11 } { 42 } - \frac { 11 } { 70 }$$

Evaluate

$$-\frac{44}{105}\approx -0.419047619$$

Solution Steps

Least common multiple of 42 and 70 is 210. Convert -\frac{11}{42} and \frac{11}{70} to fractions with denominator 210.

$$-\frac{55}{210}-\frac{33}{210}$$

Since -\frac{55}{210} and \frac{33}{210} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-33}{210}$$

Subtract 33 from -55 to get -88.

$$\frac{-88}{210}$$

Reduce the fraction \frac{-88}{210} to lowest terms by extracting and canceling out 2.

$$-\frac{44}{105}$$

Factor

$$-\frac{44}{105} = -0.41904761904761906$$