Solve (0,02*0,01-0,01):0,25-3/8

$$( 0,02 \cdot 0,01 - 0,01 ) : 0,25 - \frac { 3 } { 8 }$$

Evaluate

$$-0,4142$$

Solution Steps

Multiply 0,02 and 0,01 to get 0,0002.

$$\frac{0,0002-0,01}{0,25}-\frac{3}{8}$$

Subtract 0,01 from 0,0002 to get -0,0098.

$$\frac{-0,0098}{0,25}-\frac{3}{8}$$

Expand \frac{-0,0098}{0,25} by multiplying both numerator and the denominator by 10000.

$$\frac{-98}{2500}-\frac{3}{8}$$

Reduce the fraction \frac{-98}{2500} to lowest terms by extracting and canceling out 2.

$$-\frac{49}{1250}-\frac{3}{8}$$

Least common multiple of 1250 and 8 is 5000. Convert -\frac{49}{1250} and \frac{3}{8} to fractions with denominator 5000.

$$-\frac{196}{5000}-\frac{1875}{5000}$$

Since -\frac{196}{5000} and \frac{1875}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-196-1875}{5000}$$

Subtract 1875 from -196 to get -2071.

$$-\frac{2071}{5000}$$

Factor

$$-0,4142$$