Solve (-6/49)*(-5/4)*(-7/25)

$$( - \frac { 6 } { 49 } ) \cdot ( - \frac { 5 } { 4 } ) \cdot ( - \frac { 7 } { 25 } )$$

Evaluate

$$-\frac{3}{70}\approx -0.042857143$$

Solution Steps

Multiply -\frac{6}{49} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-6\left(-5\right)}{49\times 4}\left(-\frac{7}{25}\right)$$

Do the multiplications in the fraction \frac{-6\left(-5\right)}{49\times 4}.

$$\frac{30}{196}\left(-\frac{7}{25}\right)$$

Reduce the fraction \frac{30}{196} to lowest terms by extracting and canceling out 2.

$$\frac{15}{98}\left(-\frac{7}{25}\right)$$

Multiply \frac{15}{98} times -\frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\left(-7\right)}{98\times 25}$$

Do the multiplications in the fraction \frac{15\left(-7\right)}{98\times 25}.

$$\frac{-105}{2450}$$

Reduce the fraction \frac{-105}{2450} to lowest terms by extracting and canceling out 35.

$$-\frac{3}{70}$$

Factor

$$-\frac{3}{70} = -0.04285714285714286$$