Solve [(6/10-5/5)*(-7+1)*(3/5-5)+2]

$$[ ( \frac { 6 } { 10 } - \frac { 5 } { 5 } ) \cdot ( - 7 + 1 ) \cdot ( \frac { 3 } { 5 } - 5 ) + 2 ]$$

Evaluate

$$-\frac{214}{25}=-8.56$$

Solution Steps

Divide 5 by 5 to get 1.

$$\left(\frac{6}{10}-1\right)\left(-7+1\right)\left(\frac{3}{5}-5\right)+2$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{3}{5}-1\right)\left(-7+1\right)\left(\frac{3}{5}-5\right)+2$$

Convert 1 to fraction \frac{5}{5}.

$$\left(\frac{3}{5}-\frac{5}{5}\right)\left(-7+1\right)\left(\frac{3}{5}-5\right)+2$$

Since \frac{3}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-5}{5}\left(-7+1\right)\left(\frac{3}{5}-5\right)+2$$

Subtract 5 from 3 to get -2.

$$-\frac{2}{5}\left(-7+1\right)\left(\frac{3}{5}-5\right)+2$$

Add -7 and 1 to get -6.

$$-\frac{2}{5}\left(-6\right)\left(\frac{3}{5}-5\right)+2$$

Express -\frac{2}{5}\left(-6\right) as a single fraction.

$$\frac{-2\left(-6\right)}{5}\left(\frac{3}{5}-5\right)+2$$

Multiply -2 and -6 to get 12.

$$\frac{12}{5}\left(\frac{3}{5}-5\right)+2$$

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

$$\frac{12}{5}\left(\frac{3}{5}-\frac{25}{5}\right)+2$$

Since \frac{3}{5} and \frac{25}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12}{5}\times \frac{3-25}{5}+2$$

Subtract 25 from 3 to get -22.

$$\frac{12}{5}\left(-\frac{22}{5}\right)+2$$

Multiply \frac{12}{5} times -\frac{22}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\left(-22\right)}{5\times 5}+2$$

Do the multiplications in the fraction \frac{12\left(-22\right)}{5\times 5}.

$$\frac{-264}{25}+2$$

Fraction \frac{-264}{25} can be rewritten as -\frac{264}{25} by extracting the negative sign.

$$-\frac{264}{25}+2$$

Convert 2 to fraction \frac{50}{25}.

$$-\frac{264}{25}+\frac{50}{25}$$

Since -\frac{264}{25} and \frac{50}{25} have the same denominator, add them by adding their numerators.

$$\frac{-264+50}{25}$$

Add -264 and 50 to get -214.

$$-\frac{214}{25}$$

Factor

$$-\frac{214}{25} = -8\frac{14}{25} = -8.56$$