Solve (0,23:2-0,05):0,4-1=

$$( 0,23 : 2 - 0,05 ) : 0,4 - 1 =$$

Evaluate

$$-0,8375$$

Solution Steps

Expand \frac{0,23}{2} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{23}{200}-0,05}{0,4}-1$$

Convert decimal number 0,05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{23}{200}-\frac{1}{20}}{0,4}-1$$

Least common multiple of 200 and 20 is 200. Convert \frac{23}{200} and \frac{1}{20} to fractions with denominator 200.

$$\frac{\frac{23}{200}-\frac{10}{200}}{0,4}-1$$

Since \frac{23}{200} and \frac{10}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{23-10}{200}}{0,4}-1$$

Subtract 10 from 23 to get 13.

$$\frac{\frac{13}{200}}{0,4}-1$$

Express \frac{\frac{13}{200}}{0,4} as a single fraction.

$$\frac{13}{200\times 0,4}-1$$

Multiply 200 and 0,4 to get 80.

$$\frac{13}{80}-1$$

Convert 1 to fraction \frac{80}{80}.

$$\frac{13}{80}-\frac{80}{80}$$

Since \frac{13}{80} and \frac{80}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-80}{80}$$

Subtract 80 from 13 to get -67.

$$-\frac{67}{80}$$

Factor

$$-0,8375$$