Solve -4/3+(-1+7/9)

$$- \frac{ 4 }{ 3 } +(-1+ \frac{ 7 }{ 9 } )$$

Evaluate

$$-\frac{14}{9}\approx -1.555555556$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$-\frac{4}{3}-\frac{3}{3}+\frac{7}{9}$$

Since -\frac{4}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{3}+\frac{7}{9}$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{3}+\frac{7}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{7}{3} and \frac{7}{9} to fractions with denominator 9.

$$-\frac{21}{9}+\frac{7}{9}$$

Since -\frac{21}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.

$$\frac{-21+7}{9}$$

Add -21 and 7 to get -14.

$$-\frac{14}{9}$$

Factor

$$-\frac{14}{9} = -1\frac{5}{9} = -1.5555555555555556$$