Solve -1/3-8/6+-15/12-5/4+1

$$- \frac{ 1 }{ 3 } - \frac{ 8 }{ 6 } +- \frac{ 15 }{ 12 } - \frac{ 5 }{ 4 } +1$$

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{3}-\frac{4}{3}-\frac{15}{12}-\frac{5}{4}+1$$

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

$$\frac{-1-4}{3}-\frac{15}{12}-\frac{5}{4}+1$$

Subtract 4 from -1 to get -5.

$$-\frac{5}{3}-\frac{15}{12}-\frac{5}{4}+1$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

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

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

$$-\frac{20}{12}-\frac{15}{12}-\frac{5}{4}+1$$

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

$$\frac{-20-15}{12}-\frac{5}{4}+1$$

Subtract 15 from -20 to get -35.

$$-\frac{35}{12}-\frac{5}{4}+1$$

Least common multiple of 12 and 4 is 12. Convert -\frac{35}{12} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{35}{12}-\frac{15}{12}+1$$

Since -\frac{35}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-15}{12}+1$$

Subtract 15 from -35 to get -50.

$$\frac{-50}{12}+1$$

Reduce the fraction \frac{-50}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{25}{6}+1$$

Convert 1 to fraction \frac{6}{6}.

$$-\frac{25}{6}+\frac{6}{6}$$

Since -\frac{25}{6} and \frac{6}{6} have the same denominator, add them by adding their numerators.

$$\frac{-25+6}{6}$$

Add -25 and 6 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$