Solve -4/3+(-2/6)+(-5/4)=

$$- \frac { 4 } { 3 } + ( - \frac { 2 } { 6 } ) + ( - \frac { 5 } { 4 } ) =$$

Evaluate

$$-\frac{35}{12}\approx -2.916666667$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{3}-\frac{1}{3}-\frac{5}{4}$$

Since -\frac{4}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-1}{3}-\frac{5}{4}$$

Subtract 1 from -4 to get -5.

$$-\frac{5}{3}-\frac{5}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{5}{3} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{20}{12}-\frac{15}{12}$$

Since -\frac{20}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-20-15}{12}$$

Subtract 15 from -20 to get -35.

$$-\frac{35}{12}$$

Factor

$$-\frac{35}{12} = -2\frac{11}{12} = -2.9166666666666665$$