Solve -25/9+7/12-1/4

$$- \frac { 25 } { 9 } + \frac { 7 } { 12 } - \frac { 1 } { 4 }$$

Evaluate

$$-\frac{22}{9}\approx -2.444444444$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert -\frac{25}{9} and \frac{7}{12} to fractions with denominator 36.

$$-\frac{100}{36}+\frac{21}{36}-\frac{1}{4}$$

Since -\frac{100}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.

$$\frac{-100+21}{36}-\frac{1}{4}$$

Add -100 and 21 to get -79.

$$-\frac{79}{36}-\frac{1}{4}$$

Least common multiple of 36 and 4 is 36. Convert -\frac{79}{36} and \frac{1}{4} to fractions with denominator 36.

$$-\frac{79}{36}-\frac{9}{36}$$

Since -\frac{79}{36} and \frac{9}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-79-9}{36}$$

Subtract 9 from -79 to get -88.

$$\frac{-88}{36}$$

Reduce the fraction \frac{-88}{36} to lowest terms by extracting and canceling out 4.

$$-\frac{22}{9}$$

Factor

$$-\frac{22}{9} = -2\frac{4}{9} = -2.4444444444444446$$