Solve [(-3)-(-0.75)*8/3-19]*(-14)

$$[ ( - 3 ) - ( - 0.75 ) \times \frac { 8 } { 3 } - 19 ] \times ( - 14 )$$

Evaluate

$$280$$

Solution Steps

Convert decimal number -0.75 to fraction -\frac{75}{100}. Reduce the fraction -\frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\left(-3-\left(-\frac{3}{4}\times \frac{8}{3}\right)-19\right)\left(-14\right)$$

Multiply -\frac{3}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\left(-3-\frac{-3\times 8}{4\times 3}-19\right)\left(-14\right)$$

Do the multiplications in the fraction \frac{-3\times 8}{4\times 3}.

$$\left(-3-\frac{-24}{12}-19\right)\left(-14\right)$$

Divide -24 by 12 to get -2.

$$\left(-3-\left(-2\right)-19\right)\left(-14\right)$$

The opposite of -2 is 2.

$$\left(-3+2-19\right)\left(-14\right)$$

Add -3 and 2 to get -1.

$$\left(-1-19\right)\left(-14\right)$$

Subtract 19 from -1 to get -20.

$$-20\left(-14\right)$$

Multiply -20 and -14 to get 280.

$$280$$

Factor

$$5\times 7\times 2^{3}$$