Solve -5+(1-0.2*3/5)div(-2)

$$- 5 + ( 1 - 0.2 \times \frac { 3 } { 5 } ) \div ( - 2 )$$

Evaluate

$$-5.44$$

Solution Steps

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-5+\frac{1-\frac{1}{5}\times \frac{3}{5}}{-2}$$

Multiply \frac{1}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$-5+\frac{1-\frac{1\times 3}{5\times 5}}{-2}$$

Do the multiplications in the fraction \frac{1\times 3}{5\times 5}.

$$-5+\frac{1-\frac{3}{25}}{-2}$$

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

$$-5+\frac{\frac{25}{25}-\frac{3}{25}}{-2}$$

Since \frac{25}{25} and \frac{3}{25} have the same denominator, subtract them by subtracting their numerators.

$$-5+\frac{\frac{25-3}{25}}{-2}$$

Subtract 3 from 25 to get 22.

$$-5+\frac{\frac{22}{25}}{-2}$$

Express \frac{\frac{22}{25}}{-2} as a single fraction.

$$-5+\frac{22}{25\left(-2\right)}$$

Multiply 25 and -2 to get -50.

$$-5+\frac{22}{-50}$$

Reduce the fraction \frac{22}{-50} to lowest terms by extracting and canceling out 2.

$$-5-\frac{11}{25}$$

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

$$-\frac{125}{25}-\frac{11}{25}$$

Since -\frac{125}{25} and \frac{11}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-125-11}{25}$$

Subtract 11 from -125 to get -136.

$$-\frac{136}{25}$$

Factor

$$-5.44$$