Solve 35/42*8/15*(-6/10)=

$$\frac { 35 } { 42 } \times \frac { 8 } { 15 } \times ( - \frac { 6 } { 10 } ) =$$

Evaluate

$$-\frac{4}{15}\approx -0.266666667$$

Solution Steps

Reduce the fraction \frac{35}{42} to lowest terms by extracting and canceling out 7.

$$\frac{5}{6}\times \frac{8}{15}\left(-\frac{6}{10}\right)$$

Multiply \frac{5}{6} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{6\times 15}\left(-\frac{6}{10}\right)$$

Do the multiplications in the fraction \frac{5\times 8}{6\times 15}.

$$\frac{40}{90}\left(-\frac{6}{10}\right)$$

Reduce the fraction \frac{40}{90} to lowest terms by extracting and canceling out 10.

$$\frac{4}{9}\left(-\frac{6}{10}\right)$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{9}\left(-\frac{3}{5}\right)$$

Multiply \frac{4}{9} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\left(-3\right)}{9\times 5}$$

Do the multiplications in the fraction \frac{4\left(-3\right)}{9\times 5}.

$$\frac{-12}{45}$$

Reduce the fraction \frac{-12}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{15}$$

Factor

$$-\frac{4}{15} = -0.26666666666666666$$