\[\frac{-10xy}{\frac{5}{2}x}\]
1
Simplify  52x\frac{5}{2}x  to  5x2\frac{5x}{2}.
−10xy5x2\frac{-10xy}{\frac{5x}{2}}

2
Move the negative sign to the left.
−10xy5x2-\frac{10xy}{\frac{5x}{2}}

3
Invert and multiply.
−10xy×25x-10xy\times \frac{2}{5x}

4
Cancel xx.
−10y×25-10y\times \frac{2}{5}

5
Use this rule: ab×cd=acbd\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}.
−10y×25-\frac{10y\times 2}{5}

6
Simplify  10y×210y\times 2  to  20y20y.
−20y5-\frac{20y}{5}

7
Simplify  20y5\frac{20y}{5}  to  4y4y.
−4y-4y

Done
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