Solve 4/5*(-2)*-3/7

$$\frac { 4 } { 5 } \cdot ( - 2 ) \cdot \frac { - 3 } { 7 }$$

Evaluate

$$\frac{24}{35}\approx 0.685714286$$

Solution Steps

Express \frac{4}{5}\left(-2\right) as a single fraction.

$$\frac{4\left(-2\right)}{5}\times \frac{-3}{7}$$

Multiply 4 and -2 to get -8.

$$\frac{-8}{5}\times \frac{-3}{7}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$-\frac{8}{5}\times \frac{-3}{7}$$

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

$$-\frac{8}{5}\left(-\frac{3}{7}\right)$$

Multiply -\frac{8}{5} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\left(-3\right)}{5\times 7}$$

Do the multiplications in the fraction \frac{-8\left(-3\right)}{5\times 7}.

$$\frac{24}{35}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5 \cdot 7} = 0.6857142857142857$$