Solve -2/4-2+1/9

$$- \frac{ 2 }{ 4 } -2+ \frac{ 1 }{ 9 }$$

Evaluate

$$-\frac{43}{18}\approx -2.388888889$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}-2+\frac{1}{9}$$

Convert 2 to fraction \frac{4}{2}.

$$-\frac{1}{2}-\frac{4}{2}+\frac{1}{9}$$

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-4}{2}+\frac{1}{9}$$

Subtract 4 from -1 to get -5.

$$-\frac{5}{2}+\frac{1}{9}$$

Least common multiple of 2 and 9 is 18. Convert -\frac{5}{2} and \frac{1}{9} to fractions with denominator 18.

$$-\frac{45}{18}+\frac{2}{18}$$

Since -\frac{45}{18} and \frac{2}{18} have the same denominator, add them by adding their numerators.

$$\frac{-45+2}{18}$$

Add -45 and 2 to get -43.

$$-\frac{43}{18}$$

Factor

$$-\frac{43}{18} = -2\frac{7}{18} = -2.388888888888889$$