Solve -4/9+-3/4+-7/12

$$\frac { - 4 } { 9 } + \frac { - 3 } { 4 } + \frac { - 7 } { 12 }$$

Evaluate

$$-\frac{16}{9}\approx -1.777777778$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{4}{9}+\frac{-3}{4}+\frac{-7}{12}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{4}{9}-\frac{3}{4}+\frac{-7}{12}$$

Least common multiple of 9 and 4 is 36. Convert -\frac{4}{9} and \frac{3}{4} to fractions with denominator 36.

$$-\frac{16}{36}-\frac{27}{36}+\frac{-7}{12}$$

Since -\frac{16}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16-27}{36}+\frac{-7}{12}$$

Subtract 27 from -16 to get -43.

$$-\frac{43}{36}+\frac{-7}{12}$$

Fraction \frac{-7}{12} can be rewritten as -\frac{7}{12} by extracting the negative sign.

$$-\frac{43}{36}-\frac{7}{12}$$

Least common multiple of 36 and 12 is 36. Convert -\frac{43}{36} and \frac{7}{12} to fractions with denominator 36.

$$-\frac{43}{36}-\frac{21}{36}$$

Since -\frac{43}{36} and \frac{21}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-43-21}{36}$$

Subtract 21 from -43 to get -64.

$$\frac{-64}{36}$$

Reduce the fraction \frac{-64}{36} to lowest terms by extracting and canceling out 4.

$$-\frac{16}{9}$$

Factor

$$-\frac{16}{9} = -1\frac{7}{9} = -1.7777777777777777$$