Solve 624div(-100)*[(-2/5)+1/4]

$$624 \div ( - 100 ) \times [ ( - \frac { 2 } { 5 } ) + \frac { 1 } { 4 } ]$$

Evaluate

$$\frac{117}{125}=0.936$$

Solution Steps

Reduce the fraction \frac{624}{-100} to lowest terms by extracting and canceling out 4.

$$-\frac{156}{25}\left(-\frac{2}{5}+\frac{1}{4}\right)$$

Least common multiple of 5 and 4 is 20. Convert -\frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{156}{25}\left(-\frac{8}{20}+\frac{5}{20}\right)$$

Since -\frac{8}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$-\frac{156}{25}\times \frac{-8+5}{20}$$

Add -8 and 5 to get -3.

$$-\frac{156}{25}\left(-\frac{3}{20}\right)$$

Multiply -\frac{156}{25} times -\frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-156\left(-3\right)}{25\times 20}$$

Do the multiplications in the fraction \frac{-156\left(-3\right)}{25\times 20}.

$$\frac{468}{500}$$

Reduce the fraction \frac{468}{500} to lowest terms by extracting and canceling out 4.

$$\frac{117}{125}$$

Factor

$$\frac{3 ^ {2} \cdot 13}{5 ^ {3}} = 0.936$$