Solve 62.4div(-100)*[(-2/5)+1/4]

$$62.4 \div ( - 100 ) \times [ ( - \frac { 2 } { 5 } ) + \frac { 1 } { 4 } ]$$

Evaluate

$$0.0936$$

Solution Steps

Expand \frac{62.4}{-100} by multiplying both numerator and the denominator by 10.

$$\frac{624}{-1000}\left(-\frac{2}{5}+\frac{1}{4}\right)$$

Reduce the fraction \frac{624}{-1000} to lowest terms by extracting and canceling out 8.

$$-\frac{78}{125}\left(-\frac{2}{5}+\frac{1}{4}\right)$$

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

$$-\frac{78}{125}\left(-\frac{8}{20}+\frac{5}{20}\right)$$

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

$$-\frac{78}{125}\times \frac{-8+5}{20}$$

Add -8 and 5 to get -3.

$$-\frac{78}{125}\left(-\frac{3}{20}\right)$$

Multiply -\frac{78}{125} times -\frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-78\left(-3\right)}{125\times 20}$$

Do the multiplications in the fraction \frac{-78\left(-3\right)}{125\times 20}.

$$\frac{234}{2500}$$

Reduce the fraction \frac{234}{2500} to lowest terms by extracting and canceling out 2.

$$\frac{117}{1250}$$

Factor

$$\frac{13 \cdot 3 ^ {2}}{2 \cdot 5 ^ {4}} = 0.0936$$