Solve (-13/20)+(-52/15)

$$( - 1 \frac { 3 } { 20 } ) + ( - 5 \frac { 2 } { 15 } )$$

Evaluate

$$-\frac{377}{60}\approx -6.283333333$$

Solution Steps

Multiply 1 and 20 to get 20.

$$-\frac{20+3}{20}-\frac{5\times 15+2}{15}$$

Add 20 and 3 to get 23.

$$-\frac{23}{20}-\frac{5\times 15+2}{15}$$

Multiply 5 and 15 to get 75.

$$-\frac{23}{20}-\frac{75+2}{15}$$

Add 75 and 2 to get 77.

$$-\frac{23}{20}-\frac{77}{15}$$

Least common multiple of 20 and 15 is 60. Convert -\frac{23}{20} and \frac{77}{15} to fractions with denominator 60.

$$-\frac{69}{60}-\frac{308}{60}$$

Since -\frac{69}{60} and \frac{308}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-69-308}{60}$$

Subtract 308 from -69 to get -377.

$$-\frac{377}{60}$$

Factor

$$-\frac{377}{60} = -6\frac{17}{60} = -6.283333333333333$$