Solve -(2+100/60+60/100)*0,04

$$- ( 2 + \frac { 100 } { 60 } + \frac { 60 } { 100 } ) \times 0,04$$

Evaluate

$$-\frac{64}{375}\approx -0,170666667$$

Solution Steps

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\left(-\left(2+\frac{5}{3}+\frac{60}{100}\right)\right)\times 0,04$$

Convert 2 to fraction \frac{6}{3}.

$$\left(-\left(\frac{6}{3}+\frac{5}{3}+\frac{60}{100}\right)\right)\times 0,04$$

Since \frac{6}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\left(-\left(\frac{6+5}{3}+\frac{60}{100}\right)\right)\times 0,04$$

Add 6 and 5 to get 11.

$$\left(-\left(\frac{11}{3}+\frac{60}{100}\right)\right)\times 0,04$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\left(-\left(\frac{11}{3}+\frac{3}{5}\right)\right)\times 0,04$$

Least common multiple of 3 and 5 is 15. Convert \frac{11}{3} and \frac{3}{5} to fractions with denominator 15.

$$\left(-\left(\frac{55}{15}+\frac{9}{15}\right)\right)\times 0,04$$

Since \frac{55}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\left(-\frac{55+9}{15}\right)\times 0,04$$

Add 55 and 9 to get 64.

$$-\frac{64}{15}\times 0,04$$

Convert decimal number 0,04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{64}{15}\times \frac{1}{25}$$

Multiply -\frac{64}{15} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-64}{15\times 25}$$

Do the multiplications in the fraction \frac{-64}{15\times 25}.

$$\frac{-64}{375}$$

Fraction \frac{-64}{375} can be rewritten as -\frac{64}{375} by extracting the negative sign.

$$-\frac{64}{375}$$

Factor

$$-\frac{64}{375} = -0.17066666666666666$$