Solve 1/1000[0,260/20*0,260-1]

$$\frac { 1 } { 1000 } [ \frac { 0,260 } { 20 \times 0,260 } - 1 ]$$

Evaluate

$$-0,00095$$

Solution Steps

Multiply 20 and 0,26 to get 5,2.

$$\frac{1}{1000}\left(\frac{0,26}{5,2}-1\right)$$

Expand \frac{0,26}{5,2} by multiplying both numerator and the denominator by 100.

$$\frac{1}{1000}\left(\frac{26}{520}-1\right)$$

Reduce the fraction \frac{26}{520} to lowest terms by extracting and canceling out 26.

$$\frac{1}{1000}\left(\frac{1}{20}-1\right)$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{1}{1000}\left(\frac{1}{20}-\frac{20}{20}\right)$$

Since \frac{1}{20} and \frac{20}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{1000}\times \frac{1-20}{20}$$

Subtract 20 from 1 to get -19.

$$\frac{1}{1000}\left(-\frac{19}{20}\right)$$

Multiply \frac{1}{1000} times -\frac{19}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-19\right)}{1000\times 20}$$

Do the multiplications in the fraction \frac{1\left(-19\right)}{1000\times 20}.

$$\frac{-19}{20000}$$

Fraction \frac{-19}{20000} can be rewritten as -\frac{19}{20000} by extracting the negative sign.

$$-\frac{19}{20000}$$

Factor

$$-0,00095$$