Solve 0.72-(-0.0405)div(0.3)*(-2.9)

$$0.72-(-0.0405) \div (0.3) \times (-2.9)$$

Evaluate

$$0.3285$$

Solution Steps

Expand \frac{-0.0405}{0.3} by multiplying both numerator and the denominator by 10000.

$$0.72-\frac{-405}{3000}\left(-2.9\right)$$

Reduce the fraction \frac{-405}{3000} to lowest terms by extracting and canceling out 15.

$$0.72-\left(-\frac{27}{200}\left(-2.9\right)\right)$$

Convert decimal number -2.9 to fraction -\frac{29}{10}.

$$0.72-\left(-\frac{27}{200}\left(-\frac{29}{10}\right)\right)$$

Multiply -\frac{27}{200} times -\frac{29}{10} by multiplying numerator times numerator and denominator times denominator.

$$0.72-\frac{-27\left(-29\right)}{200\times 10}$$

Do the multiplications in the fraction \frac{-27\left(-29\right)}{200\times 10}.

$$0.72-\frac{783}{2000}$$

Convert decimal number 0.72 to fraction \frac{72}{100}. Reduce the fraction \frac{72}{100} to lowest terms by extracting and canceling out 4.

$$\frac{18}{25}-\frac{783}{2000}$$

Least common multiple of 25 and 2000 is 2000. Convert \frac{18}{25} and \frac{783}{2000} to fractions with denominator 2000.

$$\frac{1440}{2000}-\frac{783}{2000}$$

Since \frac{1440}{2000} and \frac{783}{2000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1440-783}{2000}$$

Subtract 783 from 1440 to get 657.

$$\frac{657}{2000}$$

Factor

$$\frac{73 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {3}} = 0.3285$$