Solve -4/9+(-32/7)+4/9

$$- \frac { 4 } { 9 } + ( - 3 \frac { 2 } { 7 } ) + \frac { 4 } { 9 }$$

Evaluate

$$-\frac{23}{7}\approx -3.285714286$$

Solution Steps

Multiply 3 and 7 to get 21.

$$-\frac{4}{9}-\frac{21+2}{7}+\frac{4}{9}$$

Add 21 and 2 to get 23.

$$-\frac{4}{9}-\frac{23}{7}+\frac{4}{9}$$

Least common multiple of 9 and 7 is 63. Convert -\frac{4}{9} and \frac{23}{7} to fractions with denominator 63.

$$-\frac{28}{63}-\frac{207}{63}+\frac{4}{9}$$

Since -\frac{28}{63} and \frac{207}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-28-207}{63}+\frac{4}{9}$$

Subtract 207 from -28 to get -235.

$$-\frac{235}{63}+\frac{4}{9}$$

Least common multiple of 63 and 9 is 63. Convert -\frac{235}{63} and \frac{4}{9} to fractions with denominator 63.

$$-\frac{235}{63}+\frac{28}{63}$$

Since -\frac{235}{63} and \frac{28}{63} have the same denominator, add them by adding their numerators.

$$\frac{-235+28}{63}$$

Add -235 and 28 to get -207.

$$\frac{-207}{63}$$

Reduce the fraction \frac{-207}{63} to lowest terms by extracting and canceling out 9.

$$-\frac{23}{7}$$

Factor

$$-\frac{23}{7} = -3\frac{2}{7} = -3.2857142857142856$$