Solve (41/5)(-2/3)(9/12)(-21/3)

$$( 4 \frac { 1 } { 5 } ) ( - \frac { 2 } { 3 } ) ( \frac { 9 } { 12 } ) ( - 2 \frac { 1 } { 3 } )$$

Evaluate

$$\frac{49}{10}=4.9$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+1}{5}\left(-\frac{2}{3}\right)\times \frac{9}{12}\left(-\frac{2\times 3+1}{3}\right)$$

Add 20 and 1 to get 21.

$$\frac{21}{5}\left(-\frac{2}{3}\right)\times \frac{9}{12}\left(-\frac{2\times 3+1}{3}\right)$$

Multiply \frac{21}{5} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\left(-2\right)}{5\times 3}\times \frac{9}{12}\left(-\frac{2\times 3+1}{3}\right)$$

Do the multiplications in the fraction \frac{21\left(-2\right)}{5\times 3}.

$$\frac{-42}{15}\times \frac{9}{12}\left(-\frac{2\times 3+1}{3}\right)$$

Reduce the fraction \frac{-42}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{14}{5}\times \frac{9}{12}\left(-\frac{2\times 3+1}{3}\right)$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{14}{5}\times \frac{3}{4}\left(-\frac{2\times 3+1}{3}\right)$$

Multiply -\frac{14}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-14\times 3}{5\times 4}\left(-\frac{2\times 3+1}{3}\right)$$

Do the multiplications in the fraction \frac{-14\times 3}{5\times 4}.

$$\frac{-42}{20}\left(-\frac{2\times 3+1}{3}\right)$$

Reduce the fraction \frac{-42}{20} to lowest terms by extracting and canceling out 2.

$$-\frac{21}{10}\left(-\frac{2\times 3+1}{3}\right)$$

Multiply 2 and 3 to get 6.

$$-\frac{21}{10}\left(-\frac{6+1}{3}\right)$$

Add 6 and 1 to get 7.

$$-\frac{21}{10}\left(-\frac{7}{3}\right)$$

Multiply -\frac{21}{10} times -\frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-21\left(-7\right)}{10\times 3}$$

Do the multiplications in the fraction \frac{-21\left(-7\right)}{10\times 3}.

$$\frac{147}{30}$$

Reduce the fraction \frac{147}{30} to lowest terms by extracting and canceling out 3.

$$\frac{49}{10}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 5} = 4\frac{9}{10} = 4.9$$