Solve -0.4^2*(-1.3/0.8)-0.62

$$- 0.4 ^ { 2 } \times ( \frac { - 1.3 } { 0.8 } ) - 0.62$$

Evaluate

$$-0.36$$

Solution Steps

Calculate 0.4 to the power of 2 and get 0.16.

$$-0.16\times \frac{-1.3}{0.8}-0.62$$

Expand \frac{-1.3}{0.8} by multiplying both numerator and the denominator by 10.

$$-0.16\times \frac{-13}{8}-0.62$$

Fraction \frac{-13}{8} can be rewritten as -\frac{13}{8} by extracting the negative sign.

$$-0.16\left(-\frac{13}{8}\right)-0.62$$

Convert decimal number -0.16 to fraction -\frac{16}{100}. Reduce the fraction -\frac{16}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{4}{25}\left(-\frac{13}{8}\right)-0.62$$

Multiply -\frac{4}{25} times -\frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-13\right)}{25\times 8}-0.62$$

Do the multiplications in the fraction \frac{-4\left(-13\right)}{25\times 8}.

$$\frac{52}{200}-0.62$$

Reduce the fraction \frac{52}{200} to lowest terms by extracting and canceling out 4.

$$\frac{13}{50}-0.62$$

Convert decimal number 0.62 to fraction \frac{62}{100}. Reduce the fraction \frac{62}{100} to lowest terms by extracting and canceling out 2.

$$\frac{13}{50}-\frac{31}{50}$$

Since \frac{13}{50} and \frac{31}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-31}{50}$$

Subtract 31 from 13 to get -18.

$$\frac{-18}{50}$$

Reduce the fraction \frac{-18}{50} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{25}$$

Factor

$$-0.36$$