Solve (-2,5)*2/5div(-1/4)

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

Evaluate

$$4$$

Solution Steps

Convert decimal number -2,5 to fraction -\frac{25}{10}. Reduce the fraction -\frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{5}{2}\times \frac{2}{5}}{-\frac{1}{4}}$$

Multiply -\frac{5}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-5\times 2}{2\times 5}}{-\frac{1}{4}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{-5}{5}}{-\frac{1}{4}}$$

Divide -5 by 5 to get -1.

$$\frac{-1}{-\frac{1}{4}}$$

Divide -1 by -\frac{1}{4} by multiplying -1 by the reciprocal of -\frac{1}{4}.

$$-\left(-4\right)$$

Multiply -1 and -4 to get 4.

$$4$$

Factor

$$2^{2}$$