Solve 1/5*-5/2=5/5

$$\frac { 1 } { 5 } \cdot - \frac { 5 } { 2 } = \frac { 5 } { 5 }$$

Verify

Solution Steps

Divide 5 by 5 to get 1.

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

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

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

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

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

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

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

Convert 1 to fraction \frac{2}{2}.

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

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

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