Solve 3/4-6/5-13/30

$$\frac { 3 } { 4 } - \frac { 6 } { 5 } - \frac { 13 } { 30 }$$

Evaluate

$$-\frac{53}{60}\approx -0.883333333$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{24}{20}-\frac{13}{30}$$

Since \frac{15}{20} and \frac{24}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-24}{20}-\frac{13}{30}$$

Subtract 24 from 15 to get -9.

$$-\frac{9}{20}-\frac{13}{30}$$

Least common multiple of 20 and 30 is 60. Convert -\frac{9}{20} and \frac{13}{30} to fractions with denominator 60.

$$-\frac{27}{60}-\frac{26}{60}$$

Since -\frac{27}{60} and \frac{26}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-26}{60}$$

Subtract 26 from -27 to get -53.

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

Factor

$$-\frac{53}{60} = -0.8833333333333333$$