Solve {l}{-27*(-0,08)}{-2,7:(-3)*(-0,8):(-15)*9,6}

$$\left. \begin{array} { l } { - 27 \cdot ( - 0,08 ) } \\ { - 2,7 : ( - 3 ) \cdot ( - 0,8 ) : ( - 15 ) \cdot 9,6 } \end{array} \right.$$

Evaluate

$$2,6208$$

Solution Steps

Multiply -27 and -0,08 to get 2,16.

$$2,16-\frac{\frac{2,7}{-3}\left(-0,8\right)}{-15}\times 9,6$$

Expand \frac{2,7}{-3} by multiplying both numerator and the denominator by 10.

$$2,16-\frac{\frac{27}{-30}\left(-0,8\right)}{-15}\times 9,6$$

Reduce the fraction \frac{27}{-30} to lowest terms by extracting and canceling out 3.

$$2,16-\frac{-\frac{9}{10}\left(-0,8\right)}{-15}\times 9,6$$

Convert decimal number -0,8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$2,16-\frac{-\frac{9}{10}\left(-\frac{4}{5}\right)}{-15}\times 9,6$$

Multiply -\frac{9}{10} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$2,16-\frac{\frac{-9\left(-4\right)}{10\times 5}}{-15}\times 9,6$$

Do the multiplications in the fraction \frac{-9\left(-4\right)}{10\times 5}.

$$2,16-\frac{\frac{36}{50}}{-15}\times 9,6$$

Reduce the fraction \frac{36}{50} to lowest terms by extracting and canceling out 2.

$$2,16-\frac{\frac{18}{25}}{-15}\times 9,6$$

Express \frac{\frac{18}{25}}{-15} as a single fraction.

$$2,16-\frac{18}{25\left(-15\right)}\times 9,6$$

Multiply 25 and -15 to get -375.

$$2,16-\frac{18}{-375}\times 9,6$$

Reduce the fraction \frac{18}{-375} to lowest terms by extracting and canceling out 3.

$$2,16-\left(-\frac{6}{125}\times 9,6\right)$$

Convert decimal number 9,6 to fraction \frac{96}{10}. Reduce the fraction \frac{96}{10} to lowest terms by extracting and canceling out 2.

$$2,16-\left(-\frac{6}{125}\times \frac{48}{5}\right)$$

Multiply -\frac{6}{125} times \frac{48}{5} by multiplying numerator times numerator and denominator times denominator.

$$2,16-\frac{-6\times 48}{125\times 5}$$

Do the multiplications in the fraction \frac{-6\times 48}{125\times 5}.

$$2,16-\frac{-288}{625}$$

Fraction \frac{-288}{625} can be rewritten as -\frac{288}{625} by extracting the negative sign.

$$2,16-\left(-\frac{288}{625}\right)$$

The opposite of -\frac{288}{625} is \frac{288}{625}.

$$2,16+\frac{288}{625}$$

Convert decimal number 2,16 to fraction \frac{216}{100}. Reduce the fraction \frac{216}{100} to lowest terms by extracting and canceling out 4.

$$\frac{54}{25}+\frac{288}{625}$$

Least common multiple of 25 and 625 is 625. Convert \frac{54}{25} and \frac{288}{625} to fractions with denominator 625.

$$\frac{1350}{625}+\frac{288}{625}$$

Since \frac{1350}{625} and \frac{288}{625} have the same denominator, add them by adding their numerators.

$$\frac{1350+288}{625}$$

Add 1350 and 288 to get 1638.

$$\frac{1638}{625}$$

Factor

$$\frac{2 \cdot 7 \cdot 13 \cdot 3 ^ {2}}{5 ^ {4}} = 2\frac{388}{625} = 2.6208$$