Solve -51/12+(-31/20)

$$- 5 \frac { 1 } { 12 } + ( - 3 \frac { 1 } { 20 } )$$

Evaluate

$$-\frac{122}{15}\approx -8.133333333$$

Solution Steps

Multiply 5 and 12 to get 60.

$$-\frac{60+1}{12}-\frac{3\times 20+1}{20}$$

Add 60 and 1 to get 61.

$$-\frac{61}{12}-\frac{3\times 20+1}{20}$$

Multiply 3 and 20 to get 60.

$$-\frac{61}{12}-\frac{60+1}{20}$$

Add 60 and 1 to get 61.

$$-\frac{61}{12}-\frac{61}{20}$$

Least common multiple of 12 and 20 is 60. Convert -\frac{61}{12} and \frac{61}{20} to fractions with denominator 60.

$$-\frac{305}{60}-\frac{183}{60}$$

Since -\frac{305}{60} and \frac{183}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-305-183}{60}$$

Subtract 183 from -305 to get -488.

$$\frac{-488}{60}$$

Reduce the fraction \frac{-488}{60} to lowest terms by extracting and canceling out 4.

$$-\frac{122}{15}$$

Factor

$$-\frac{122}{15} = -8\frac{2}{15} = -8.133333333333333$$