Solve (-21/4)*(-34/5)

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

Evaluate

$$\frac{171}{20}=8.55$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\left(-\frac{8+1}{4}\right)\left(-\frac{3\times 5+4}{5}\right)$$

Add 8 and 1 to get 9.

$$-\frac{9}{4}\left(-\frac{3\times 5+4}{5}\right)$$

Multiply 3 and 5 to get 15.

$$-\frac{9}{4}\left(-\frac{15+4}{5}\right)$$

Add 15 and 4 to get 19.

$$-\frac{9}{4}\left(-\frac{19}{5}\right)$$

Multiply -\frac{9}{4} times -\frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-19\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-9\left(-19\right)}{4\times 5}.

$$\frac{171}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 19}{2 ^ {2} \cdot 5} = 8\frac{11}{20} = 8.55$$