Solve -3/7(+3/4):(-5/12)=

$$\frac { - 3 } { 7 } ( + \frac { 3 } { 4 } ) : ( - \frac { 5 } { 12 } ) =$$

Evaluate

$$\frac{27}{35}\approx 0.771428571$$

Solution Steps

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

$$\frac{-\frac{3}{7}\times \frac{3}{4}}{-\frac{5}{12}}$$

Multiply -\frac{3}{7} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-3\times 3}{7\times 4}}{-\frac{5}{12}}$$

Do the multiplications in the fraction \frac{-3\times 3}{7\times 4}.

$$\frac{\frac{-9}{28}}{-\frac{5}{12}}$$

Fraction \frac{-9}{28} can be rewritten as -\frac{9}{28} by extracting the negative sign.

$$\frac{-\frac{9}{28}}{-\frac{5}{12}}$$

Divide -\frac{9}{28} by -\frac{5}{12} by multiplying -\frac{9}{28} by the reciprocal of -\frac{5}{12}.

$$-\frac{9}{28}\left(-\frac{12}{5}\right)$$

Multiply -\frac{9}{28} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-12\right)}{28\times 5}$$

Do the multiplications in the fraction \frac{-9\left(-12\right)}{28\times 5}.

$$\frac{108}{140}$$

Reduce the fraction \frac{108}{140} to lowest terms by extracting and canceling out 4.

$$\frac{27}{35}$$

Factor

$$\frac{3 ^ {3}}{5 \cdot 7} = 0.7714285714285715$$