Solve (1/5-1/4):(-1,6-3,3+5)

$$( \frac { 1 } { 5 } - \frac { 1 } { 4 } ) : ( - 1,6 - 3,3 + 5 )$$

Evaluate

$$-0,5$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{\frac{4}{20}-\frac{5}{20}}{-1,6-3,3+5}$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-5}{20}}{-1,6-3,3+5}$$

Subtract 5 from 4 to get -1.

$$\frac{-\frac{1}{20}}{-1,6-3,3+5}$$

Subtract 3,3 from -1,6 to get -4,9.

$$\frac{-\frac{1}{20}}{-4,9+5}$$

Add -4,9 and 5 to get 0,1.

$$\frac{-\frac{1}{20}}{0,1}$$

Express \frac{-\frac{1}{20}}{0,1} as a single fraction.

$$\frac{-1}{20\times 0,1}$$

Multiply 20 and 0,1 to get 2.

$$\frac{-1}{2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}$$

Factor

$$-0,5$$