Solve -7/20-8/15-23/60=

$$- \frac { 7 } { 20 } - \frac { 8 } { 15 } - \frac { 23 } { 60 } =$$

Evaluate

$$-\frac{19}{15}\approx -1.266666667$$

Solution Steps

Least common multiple of 20 and 15 is 60. Convert -\frac{7}{20} and \frac{8}{15} to fractions with denominator 60.

$$-\frac{21}{60}-\frac{32}{60}-\frac{23}{60}$$

Since -\frac{21}{60} and \frac{32}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-32}{60}-\frac{23}{60}$$

Subtract 32 from -21 to get -53.

$$-\frac{53}{60}-\frac{23}{60}$$

Since -\frac{53}{60} and \frac{23}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-53-23}{60}$$

Subtract 23 from -53 to get -76.

$$\frac{-76}{60}$$

Reduce the fraction \frac{-76}{60} to lowest terms by extracting and canceling out 4.

$$-\frac{19}{15}$$

Factor

$$-\frac{19}{15} = -1\frac{4}{15} = -1.2666666666666666$$