Solve (-7/3-12/10)

$$( - \frac { 7 } { 3 } - \frac { 12 } { 10 } )$$

Evaluate

$$-\frac{53}{15}\approx -3.533333333$$

Solution Steps

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{3}-\frac{6}{5}$$

Least common multiple of 3 and 5 is 15. Convert -\frac{7}{3} and \frac{6}{5} to fractions with denominator 15.

$$-\frac{35}{15}-\frac{18}{15}$$

Since -\frac{35}{15} and \frac{18}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-18}{15}$$

Subtract 18 from -35 to get -53.

$$-\frac{53}{15}$$

Factor

$$-\frac{53}{15} = -3\frac{8}{15} = -3.533333333333333$$