Solve -31/8*-7/30*-53/5*-1/14=

$$- 3 \frac { 1 } { 8 } \cdot \frac { - 7 } { 30 } \cdot - 5 \frac { 3 } { 5 } \cdot \frac { - 1 } { 14 } =$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\left(-\frac{24+1}{8}\right)\times \frac{-7}{30}\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Add 24 and 1 to get 25.

$$-\frac{25}{8}\times \frac{-7}{30}\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Fraction \frac{-7}{30} can be rewritten as -\frac{7}{30} by extracting the negative sign.

$$-\frac{25}{8}\left(-\frac{7}{30}\right)\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Multiply -\frac{25}{8} times -\frac{7}{30} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-25\left(-7\right)}{8\times 30}\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Do the multiplications in the fraction \frac{-25\left(-7\right)}{8\times 30}.

$$\frac{175}{240}\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Reduce the fraction \frac{175}{240} to lowest terms by extracting and canceling out 5.

$$\frac{35}{48}\left(-\frac{5\times 5+3}{5}\right)\times \frac{-1}{14}$$

Multiply 5 and 5 to get 25.

$$\frac{35}{48}\left(-\frac{25+3}{5}\right)\times \frac{-1}{14}$$

Add 25 and 3 to get 28.

$$\frac{35}{48}\left(-\frac{28}{5}\right)\times \frac{-1}{14}$$

Multiply \frac{35}{48} times -\frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\left(-28\right)}{48\times 5}\times \frac{-1}{14}$$

Do the multiplications in the fraction \frac{35\left(-28\right)}{48\times 5}.

$$\frac{-980}{240}\times \frac{-1}{14}$$

Reduce the fraction \frac{-980}{240} to lowest terms by extracting and canceling out 20.

$$-\frac{49}{12}\times \frac{-1}{14}$$

Fraction \frac{-1}{14} can be rewritten as -\frac{1}{14} by extracting the negative sign.

$$-\frac{49}{12}\left(-\frac{1}{14}\right)$$

Multiply -\frac{49}{12} times -\frac{1}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-49\left(-1\right)}{12\times 14}$$

Do the multiplications in the fraction \frac{-49\left(-1\right)}{12\times 14}.

$$\frac{49}{168}$$

Reduce the fraction \frac{49}{168} to lowest terms by extracting and canceling out 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$