Solve 4*(-3)/7((-3)/7+3)

$$4 \times \frac { (-3) } { 7 } ( \frac{ (-3) }{ 7 } +3)$$

Evaluate

$$-\frac{216}{49}\approx -4.408163265$$

Solution Steps

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$4\left(-\frac{3}{7}\right)\left(\frac{-3}{7}+3\right)$$

Express 4\left(-\frac{3}{7}\right) as a single fraction.

$$\frac{4\left(-3\right)}{7}\left(\frac{-3}{7}+3\right)$$

Multiply 4 and -3 to get -12.

$$\frac{-12}{7}\left(\frac{-3}{7}+3\right)$$

Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$-\frac{12}{7}\left(\frac{-3}{7}+3\right)$$

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$-\frac{12}{7}\left(-\frac{3}{7}+3\right)$$

Convert 3 to fraction \frac{21}{7}.

$$-\frac{12}{7}\left(-\frac{3}{7}+\frac{21}{7}\right)$$

Since -\frac{3}{7} and \frac{21}{7} have the same denominator, add them by adding their numerators.

$$-\frac{12}{7}\times \frac{-3+21}{7}$$

Add -3 and 21 to get 18.

$$-\frac{12}{7}\times \frac{18}{7}$$

Multiply -\frac{12}{7} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-12\times 18}{7\times 7}$$

Do the multiplications in the fraction \frac{-12\times 18}{7\times 7}.

$$\frac{-216}{49}$$

Fraction \frac{-216}{49} can be rewritten as -\frac{216}{49} by extracting the negative sign.

$$-\frac{216}{49}$$

Factor

$$-\frac{216}{49} = -4\frac{20}{49} = -4.408163265306122$$