Solve 7/9+-1/2+1/4

$$\frac { 7 } { 9 } + \frac { - 1 } { 2 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{19}{36}\approx 0.527777778$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{7}{9}-\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 9 and 2 is 18. Convert \frac{7}{9} and \frac{1}{2} to fractions with denominator 18.

$$\frac{14}{18}-\frac{9}{18}+\frac{1}{4}$$

Since \frac{14}{18} and \frac{9}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-9}{18}+\frac{1}{4}$$

Subtract 9 from 14 to get 5.

$$\frac{5}{18}+\frac{1}{4}$$

Least common multiple of 18 and 4 is 36. Convert \frac{5}{18} and \frac{1}{4} to fractions with denominator 36.

$$\frac{10}{36}+\frac{9}{36}$$

Since \frac{10}{36} and \frac{9}{36} have the same denominator, add them by adding their numerators.

$$\frac{10+9}{36}$$

Add 10 and 9 to get 19.

$$\frac{19}{36}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3 ^ {2}} = 0.5277777777777778$$