Solve -81/88*(-6+(-113/15)*(-119/21))=

$$- \frac { 81 } { 88 } \cdot ( - 6 + ( - 1 \frac { 13 } { 15 } ) \cdot ( - 1 \frac { 19 } { 21 } ) ) =$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Multiply 1 and 15 to get 15.

$$-\frac{81}{88}\left(-6+\left(-\frac{15+13}{15}\right)\left(-\frac{21+19}{21}\right)\right)$$

Add 15 and 13 to get 28.

$$-\frac{81}{88}\left(-6-\frac{28}{15}\left(-\frac{21+19}{21}\right)\right)$$

Add 21 and 19 to get 40.

$$-\frac{81}{88}\left(-6-\frac{28}{15}\left(-\frac{40}{21}\right)\right)$$

Multiply -\frac{28}{15} times -\frac{40}{21} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{81}{88}\left(-6+\frac{-28\left(-40\right)}{15\times 21}\right)$$

Do the multiplications in the fraction \frac{-28\left(-40\right)}{15\times 21}.

$$-\frac{81}{88}\left(-6+\frac{1120}{315}\right)$$

Reduce the fraction \frac{1120}{315} to lowest terms by extracting and canceling out 35.

$$-\frac{81}{88}\left(-6+\frac{32}{9}\right)$$

Convert -6 to fraction -\frac{54}{9}.

$$-\frac{81}{88}\left(-\frac{54}{9}+\frac{32}{9}\right)$$

Since -\frac{54}{9} and \frac{32}{9} have the same denominator, add them by adding their numerators.

$$-\frac{81}{88}\times \frac{-54+32}{9}$$

Add -54 and 32 to get -22.

$$-\frac{81}{88}\left(-\frac{22}{9}\right)$$

Multiply -\frac{81}{88} times -\frac{22}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-81\left(-22\right)}{88\times 9}$$

Do the multiplications in the fraction \frac{-81\left(-22\right)}{88\times 9}.

$$\frac{1782}{792}$$

Reduce the fraction \frac{1782}{792} to lowest terms by extracting and canceling out 198.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$