Solve (44/81)(-75/64)(16/35)(-126/121)(-frac{27}{50})

$$( \frac { 44 } { 81 } ) ( - \frac { 75 } { 64 } ) ( \frac { 16 } { 35 } ) ( - \frac { 126 } { 121 } ) ( - \frac { 27 } { 50 } )$$

Evaluate

$$-\frac{9}{55}\approx -0.163636364$$

Solution Steps

Multiply \frac{44}{81} times -\frac{75}{64} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\left(-75\right)}{81\times 64}\times \frac{16}{35}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Do the multiplications in the fraction \frac{44\left(-75\right)}{81\times 64}.

$$\frac{-3300}{5184}\times \frac{16}{35}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Reduce the fraction \frac{-3300}{5184} to lowest terms by extracting and canceling out 12.

$$-\frac{275}{432}\times \frac{16}{35}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Multiply -\frac{275}{432} times \frac{16}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-275\times 16}{432\times 35}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Do the multiplications in the fraction \frac{-275\times 16}{432\times 35}.

$$\frac{-4400}{15120}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Reduce the fraction \frac{-4400}{15120} to lowest terms by extracting and canceling out 80.

$$-\frac{55}{189}\left(-\frac{126}{121}\right)\left(-\frac{27}{50}\right)$$

Multiply -\frac{55}{189} times -\frac{126}{121} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-55\left(-126\right)}{189\times 121}\left(-\frac{27}{50}\right)$$

Do the multiplications in the fraction \frac{-55\left(-126\right)}{189\times 121}.

$$\frac{6930}{22869}\left(-\frac{27}{50}\right)$$

Reduce the fraction \frac{6930}{22869} to lowest terms by extracting and canceling out 693.

$$\frac{10}{33}\left(-\frac{27}{50}\right)$$

Multiply \frac{10}{33} times -\frac{27}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\left(-27\right)}{33\times 50}$$

Do the multiplications in the fraction \frac{10\left(-27\right)}{33\times 50}.

$$\frac{-270}{1650}$$

Reduce the fraction \frac{-270}{1650} to lowest terms by extracting and canceling out 30.

$$-\frac{9}{55}$$

Factor

$$-\frac{9}{55} = -0.16363636363636364$$