Solve 31/5*21/4*(-1/2)*4/5=

$$3 \frac { 1 } { 5 } \cdot 2 \frac { 1 } { 4 } \cdot ( - \frac { 1 } { 2 } ) \cdot \frac { 4 } { 5 } =$$

Evaluate

$$-\frac{72}{25}=-2.88$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}\times \frac{2\times 4+1}{4}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Add 15 and 1 to get 16.

$$\frac{16}{5}\times \frac{2\times 4+1}{4}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Multiply 2 and 4 to get 8.

$$\frac{16}{5}\times \frac{8+1}{4}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Add 8 and 1 to get 9.

$$\frac{16}{5}\times \frac{9}{4}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Multiply \frac{16}{5} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 9}{5\times 4}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{16\times 9}{5\times 4}.

$$\frac{144}{20}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Reduce the fraction \frac{144}{20} to lowest terms by extracting and canceling out 4.

$$\frac{36}{5}\left(-\frac{1}{2}\right)\times \frac{4}{5}$$

Multiply \frac{36}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\left(-1\right)}{5\times 2}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{36\left(-1\right)}{5\times 2}.

$$\frac{-36}{10}\times \frac{4}{5}$$

Reduce the fraction \frac{-36}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{18}{5}\times \frac{4}{5}$$

Multiply -\frac{18}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-18\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{-18\times 4}{5\times 5}.

$$\frac{-72}{25}$$

Fraction \frac{-72}{25} can be rewritten as -\frac{72}{25} by extracting the negative sign.

$$-\frac{72}{25}$$

Factor

$$-\frac{72}{25} = -2\frac{22}{25} = -2.88$$