Solve (-3/7)div2div(-3/4)

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

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Divide \frac{-\frac{3}{7}}{2} by -\frac{3}{4} by multiplying \frac{-\frac{3}{7}}{2} by the reciprocal of -\frac{3}{4}.

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

Cancel out 2 in both numerator and denominator.

$$\frac{-\frac{3}{7}\times 2}{-3}$$

Express -\frac{3}{7}\times 2 as a single fraction.

$$\frac{\frac{-3\times 2}{7}}{-3}$$

Multiply -3 and 2 to get -6.

$$\frac{\frac{-6}{7}}{-3}$$

Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$\frac{-\frac{6}{7}}{-3}$$

Express \frac{-\frac{6}{7}}{-3} as a single fraction.

$$\frac{-6}{7\left(-3\right)}$$

Multiply 7 and -3 to get -21.

$$\frac{-6}{-21}$$

Reduce the fraction \frac{-6}{-21} to lowest terms by extracting and canceling out -3.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$