Solve 2(-1/4)(-32/5)4.2

$$2 ( - \frac { 1 } { 4 } ) ( - 3 \frac { 2 } { 5 } ) 4.2$$

Evaluate

$$7.14$$

Solution Steps

Express 2\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{2\left(-1\right)}{4}\left(-\frac{3\times 5+2}{5}\right)\times 4.2$$

Multiply 2 and -1 to get -2.

$$\frac{-2}{4}\left(-\frac{3\times 5+2}{5}\right)\times 4.2$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}\left(-\frac{3\times 5+2}{5}\right)\times 4.2$$

Multiply 3 and 5 to get 15.

$$-\frac{1}{2}\left(-\frac{15+2}{5}\right)\times 4.2$$

Add 15 and 2 to get 17.

$$-\frac{1}{2}\left(-\frac{17}{5}\right)\times 4.2$$

Multiply -\frac{1}{2} times -\frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-17\right)}{2\times 5}\times 4.2$$

Do the multiplications in the fraction \frac{-\left(-17\right)}{2\times 5}.

$$\frac{17}{10}\times 4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{10}\times \frac{21}{5}$$

Multiply \frac{17}{10} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 21}{10\times 5}$$

Do the multiplications in the fraction \frac{17\times 21}{10\times 5}.

$$\frac{357}{50}$$

Factor

$$\frac{3 \cdot 7 \cdot 17}{2 \cdot 5 ^ {2}} = 7\frac{7}{50} = 7.14$$