Solve 0.8/2.1-1/2

$$\frac { 0.8 } { 2.1 } - \frac { 1 } { 2 }$$

Evaluate

$$-\frac{5}{42}\approx -0.119047619$$

Solution Steps

Expand \frac{0.8}{2.1} by multiplying both numerator and the denominator by 10.

$$\frac{8}{21}-\frac{1}{2}$$

Least common multiple of 21 and 2 is 42. Convert \frac{8}{21} and \frac{1}{2} to fractions with denominator 42.

$$\frac{16}{42}-\frac{21}{42}$$

Since \frac{16}{42} and \frac{21}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-21}{42}$$

Subtract 21 from 16 to get -5.

$$-\frac{5}{42}$$

Factor

$$-\frac{5}{42} = -0.11904761904761904$$