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

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

Evaluate

$$1.1115$$

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.

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

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

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

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}.

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

Fraction \frac{-783}{2000} can be rewritten as -\frac{783}{2000} by extracting the negative sign.

$$0.72-\left(-\frac{783}{2000}\right)$$

The opposite of -\frac{783}{2000} is \frac{783}{2000}.

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

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, add them by adding their numerators.

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

Add 1440 and 783 to get 2223.

$$\frac{2223}{2000}$$

Factor

$$\frac{13 \cdot 19 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {3}} = 1\frac{223}{2000} = 1.1115$$