Solve .36:(-8:(-5+3)+12:(-2+2*4))+3*(-8)+3*(-12+5*2)

$$.36 : ( - 8 : ( - 5 + 3 ) + 12 : ( - 2 + 2 \cdot 4 ) ) + 3 \cdot ( - 8 ) + 3 \cdot ( - 12 + 5 \cdot 2 )$$

Evaluate

$$-29.94$$

Solution Steps

Add -5 and 3 to get -2.

$$\frac{0.36}{\frac{-8}{-2}+\frac{12}{-2+2\times 4}}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Divide -8 by -2 to get 4.

$$\frac{0.36}{4+\frac{12}{-2+2\times 4}}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Multiply 2 and 4 to get 8.

$$\frac{0.36}{4+\frac{12}{-2+8}}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Add -2 and 8 to get 6.

$$\frac{0.36}{4+\frac{12}{6}}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Divide 12 by 6 to get 2.

$$\frac{0.36}{4+2}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Add 4 and 2 to get 6.

$$\frac{0.36}{6}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Expand \frac{0.36}{6} by multiplying both numerator and the denominator by 100.

$$\frac{36}{600}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Reduce the fraction \frac{36}{600} to lowest terms by extracting and canceling out 12.

$$\frac{3}{50}+3\left(-8\right)+3\left(-12+5\times 2\right)$$

Multiply 3 and -8 to get -24.

$$\frac{3}{50}-24+3\left(-12+5\times 2\right)$$

Convert 24 to fraction \frac{1200}{50}.

$$\frac{3}{50}-\frac{1200}{50}+3\left(-12+5\times 2\right)$$

Since \frac{3}{50} and \frac{1200}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1200}{50}+3\left(-12+5\times 2\right)$$

Subtract 1200 from 3 to get -1197.

$$-\frac{1197}{50}+3\left(-12+5\times 2\right)$$

Multiply 5 and 2 to get 10.

$$-\frac{1197}{50}+3\left(-12+10\right)$$

Add -12 and 10 to get -2.

$$-\frac{1197}{50}+3\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$-\frac{1197}{50}-6$$

Convert 6 to fraction \frac{300}{50}.

$$-\frac{1197}{50}-\frac{300}{50}$$

Since -\frac{1197}{50} and \frac{300}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1197-300}{50}$$

Subtract 300 from -1197 to get -1497.

$$-\frac{1497}{50}$$

Factor

$$-29.94$$