Solve (12+5.6):[-2-3(-1-2)]:6=

$$( 12 + 5.6 ) : [ - 2 - 3 ( - 1 - 2 ) ] : 6 =$$

Evaluate

$$\frac{44}{105}\approx 0.419047619$$

Solution Steps

Express \frac{\frac{12+5.6}{-2-3\left(-1-2\right)}}{6} as a single fraction.

$$\frac{12+5.6}{\left(-2-3\left(-1-2\right)\right)\times 6}$$

Add 12 and 5.6 to get 17.6.

$$\frac{17.6}{\left(-2-3\left(-1-2\right)\right)\times 6}$$

Subtract 2 from -1 to get -3.

$$\frac{17.6}{\left(-2-3\left(-3\right)\right)\times 6}$$

Multiply 3 and -3 to get -9.

$$\frac{17.6}{\left(-2-\left(-9\right)\right)\times 6}$$

The opposite of -9 is 9.

$$\frac{17.6}{\left(-2+9\right)\times 6}$$

Add -2 and 9 to get 7.

$$\frac{17.6}{7\times 6}$$

Multiply 7 and 6 to get 42.

$$\frac{17.6}{42}$$

Expand \frac{17.6}{42} by multiplying both numerator and the denominator by 10.

$$\frac{176}{420}$$

Reduce the fraction \frac{176}{420} to lowest terms by extracting and canceling out 4.

$$\frac{44}{105}$$

Factor

$$\frac{11 \cdot 2 ^ {2}}{3 \cdot 5 \cdot 7} = 0.41904761904761906$$