Solve 2/5*(-1/2)=2/10*(-5/10)=

$$\frac { 2 } { 5 } \cdot ( - \frac { 1 } { 2 } ) = \frac { 2 } { 10 } \cdot ( - \frac { 5 } { 10 } ) =$$

Verify

Solution Steps

Multiply \frac{2}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-1\right)}{5\times 2}=\frac{2}{10}\left(-\frac{5}{10}\right)$$

Cancel out 2 in both numerator and denominator.

$$\frac{-1}{5}=\frac{2}{10}\left(-\frac{5}{10}\right)$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{1}{5}=\frac{2}{10}\left(-\frac{5}{10}\right)$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{5}=\frac{1}{5}\left(-\frac{5}{10}\right)$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{5}=\frac{1}{5}\left(-\frac{1}{2}\right)$$

Multiply \frac{1}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{5}=\frac{1\left(-1\right)}{5\times 2}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{5\times 2}.

$$-\frac{1}{5}=\frac{-1}{10}$$

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$-\frac{1}{5}=-\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{1}{5} and -\frac{1}{10} to fractions with denominator 10.

$$-\frac{2}{10}=-\frac{1}{10}$$

Compare -\frac{2}{10} and -\frac{1}{10}.

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