Solve -21/2-0.8-1/3+1/4-1/5

$$-2 \frac{ 1 }{ 2 } -0.8- \frac{ 1 }{ 3 } + \frac{ 1 }{ 4 } - \frac{ 1 }{ 5 }$$

Evaluate

$$-\frac{43}{12}\approx -3.583333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$-\frac{4+1}{2}-0.8-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}-0.8-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{2}-\frac{4}{5}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{5}{2} and \frac{4}{5} to fractions with denominator 10.

$$-\frac{25}{10}-\frac{8}{10}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Since -\frac{25}{10} and \frac{8}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-8}{10}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Subtract 8 from -25 to get -33.

$$-\frac{33}{10}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}$$

Least common multiple of 10 and 3 is 30. Convert -\frac{33}{10} and \frac{1}{3} to fractions with denominator 30.

$$-\frac{99}{30}-\frac{10}{30}+\frac{1}{4}-\frac{1}{5}$$

Since -\frac{99}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-99-10}{30}+\frac{1}{4}-\frac{1}{5}$$

Subtract 10 from -99 to get -109.

$$-\frac{109}{30}+\frac{1}{4}-\frac{1}{5}$$

Least common multiple of 30 and 4 is 60. Convert -\frac{109}{30} and \frac{1}{4} to fractions with denominator 60.

$$-\frac{218}{60}+\frac{15}{60}-\frac{1}{5}$$

Since -\frac{218}{60} and \frac{15}{60} have the same denominator, add them by adding their numerators.

$$\frac{-218+15}{60}-\frac{1}{5}$$

Add -218 and 15 to get -203.

$$-\frac{203}{60}-\frac{1}{5}$$

Least common multiple of 60 and 5 is 60. Convert -\frac{203}{60} and \frac{1}{5} to fractions with denominator 60.

$$-\frac{203}{60}-\frac{12}{60}$$

Since -\frac{203}{60} and \frac{12}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-203-12}{60}$$

Subtract 12 from -203 to get -215.

$$\frac{-215}{60}$$

Reduce the fraction \frac{-215}{60} to lowest terms by extracting and canceling out 5.

$$-\frac{43}{12}$$

Factor

$$-\frac{43}{12} = -3\frac{7}{12} = -3.5833333333333335$$