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

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

Evaluate

$$-\frac{23}{24}\approx -0.958333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert -\frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$-\frac{9}{12}-\frac{2}{12}-\frac{5}{12}+\frac{3}{8}$$

Since -\frac{9}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-2}{12}-\frac{5}{12}+\frac{3}{8}$$

Subtract 2 from -9 to get -11.

$$-\frac{11}{12}-\frac{5}{12}+\frac{3}{8}$$

Since -\frac{11}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-5}{12}+\frac{3}{8}$$

Subtract 5 from -11 to get -16.

$$\frac{-16}{12}+\frac{3}{8}$$

Reduce the fraction \frac{-16}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{4}{3}+\frac{3}{8}$$

Least common multiple of 3 and 8 is 24. Convert -\frac{4}{3} and \frac{3}{8} to fractions with denominator 24.

$$-\frac{32}{24}+\frac{9}{24}$$

Since -\frac{32}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{-32+9}{24}$$

Add -32 and 9 to get -23.

$$-\frac{23}{24}$$

Factor

$$-\frac{23}{24} = -0.9583333333333334$$