Solve 1/5-3/5*5/2-1/4=

$$\frac { 1 } { 5 } - \frac { 3 } { 5 } \cdot \frac { 5 } { 2 } - \frac { 1 } { 4 } =$$

Evaluate

$$-\frac{31}{20}=-1.55$$

Solution Steps

Multiply \frac{3}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

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

Least common multiple of 5 and 2 is 10. Convert \frac{1}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{2}{10}-\frac{15}{10}-\frac{1}{4}$$

Since \frac{2}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{10}-\frac{1}{4}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{10}-\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{13}{10} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{26}{20}-\frac{5}{20}$$

Since -\frac{26}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-26-5}{20}$$

Subtract 5 from -26 to get -31.

$$-\frac{31}{20}$$

Factor

$$-\frac{31}{20} = -1\frac{11}{20} = -1.55$$