Solve -3[-5+(1-0.2div5)div(-2)]

$$- 3 [ - 5 + ( 1 - 0.2 \div 5 ) \div ( - 2 ) ]$$

Evaluate

$$16.44$$

Solution Steps

Expand \frac{0.2}{5} by multiplying both numerator and the denominator by 10.

$$-3\left(-5+\frac{1-\frac{2}{50}}{-2}\right)$$

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

$$-3\left(-5+\frac{1-\frac{1}{25}}{-2}\right)$$

Convert 1 to fraction \frac{25}{25}.

$$-3\left(-5+\frac{\frac{25}{25}-\frac{1}{25}}{-2}\right)$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, subtract them by subtracting their numerators.

$$-3\left(-5+\frac{\frac{25-1}{25}}{-2}\right)$$

Subtract 1 from 25 to get 24.

$$-3\left(-5+\frac{\frac{24}{25}}{-2}\right)$$

Express \frac{\frac{24}{25}}{-2} as a single fraction.

$$-3\left(-5+\frac{24}{25\left(-2\right)}\right)$$

Multiply 25 and -2 to get -50.

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

Reduce the fraction \frac{24}{-50} to lowest terms by extracting and canceling out 2.

$$-3\left(-5-\frac{12}{25}\right)$$

Convert -5 to fraction -\frac{125}{25}.

$$-3\left(-\frac{125}{25}-\frac{12}{25}\right)$$

Since -\frac{125}{25} and \frac{12}{25} have the same denominator, subtract them by subtracting their numerators.

$$-3\times \frac{-125-12}{25}$$

Subtract 12 from -125 to get -137.

$$-3\left(-\frac{137}{25}\right)$$

Express -3\left(-\frac{137}{25}\right) as a single fraction.

$$\frac{-3\left(-137\right)}{25}$$

Multiply -3 and -137 to get 411.

$$\frac{411}{25}$$

Factor

$$\frac{3 \cdot 137}{5 ^ {2}} = 16\frac{11}{25} = 16.44$$