Solve -1/2-11/4-21/5+11/10

$$- \frac { 1 } { 2 } - 1 \frac { 1 } { 4 } - 2 \frac { 1 } { 5 } + 1 \frac { 1 } { 10 }$$

Evaluate

$$-\frac{57}{20}=-2.85$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-\frac{1}{2}-\frac{4+1}{4}-\frac{2\times 5+1}{5}+\frac{1\times 10+1}{10}$$

Add 4 and 1 to get 5.

$$-\frac{1}{2}-\frac{5}{4}-\frac{2\times 5+1}{5}+\frac{1\times 10+1}{10}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{5}{4} to fractions with denominator 4.

$$-\frac{2}{4}-\frac{5}{4}-\frac{2\times 5+1}{5}+\frac{1\times 10+1}{10}$$

Since -\frac{2}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-5}{4}-\frac{2\times 5+1}{5}+\frac{1\times 10+1}{10}$$

Subtract 5 from -2 to get -7.

$$-\frac{7}{4}-\frac{2\times 5+1}{5}+\frac{1\times 10+1}{10}$$

Multiply 2 and 5 to get 10.

$$-\frac{7}{4}-\frac{10+1}{5}+\frac{1\times 10+1}{10}$$

Add 10 and 1 to get 11.

$$-\frac{7}{4}-\frac{11}{5}+\frac{1\times 10+1}{10}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{7}{4} and \frac{11}{5} to fractions with denominator 20.

$$-\frac{35}{20}-\frac{44}{20}+\frac{1\times 10+1}{10}$$

Since -\frac{35}{20} and \frac{44}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-44}{20}+\frac{1\times 10+1}{10}$$

Subtract 44 from -35 to get -79.

$$-\frac{79}{20}+\frac{1\times 10+1}{10}$$

Multiply 1 and 10 to get 10.

$$-\frac{79}{20}+\frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$-\frac{79}{20}+\frac{11}{10}$$

Least common multiple of 20 and 10 is 20. Convert -\frac{79}{20} and \frac{11}{10} to fractions with denominator 20.

$$-\frac{79}{20}+\frac{22}{20}$$

Since -\frac{79}{20} and \frac{22}{20} have the same denominator, add them by adding their numerators.

$$\frac{-79+22}{20}$$

Add -79 and 22 to get -57.

$$-\frac{57}{20}$$

Factor

$$-\frac{57}{20} = -2\frac{17}{20} = -2.85$$