Divide and simplify.
-$\frac{10}{y-x} \div \frac{5}{x-y}$
A) 2
B) $\frac{2(x-y)}{y-x}$
C) -2
D) -10

Name: Divide and simplify. -$\frac{10}{y-x} \div \frac{5}{x-y}$ A) 2 B) $\frac{2(x-y)}{y-x}$ C) -2 D) -10
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Quizplus · Accepted Answer

The division of the fractions can be rewritten as multiplication by the reciprocal of the second fraction: $\frac{10}{y-x} * \frac{x-y}{5}$. Since $y-x$ is the negative of $x-y$, this simplifies to $\frac{10}{-1} * \frac{1}{5} = -2$.

Divide and Simplify 10y−x÷5x−y\frac{10}{y-x} \div \frac{5}{x-y}y−x10​÷x−y5​ A) 2 B) 2(x−y)y−x\frac{2(x-y)}{y-x}y−x2(x−y)​ C) -2 D) -10

Divide and Simplify $\frac{10}{y-x} \div \frac{5}{x-y}$ A) 2
B) $\frac{2(x-y)}{y-x}$ C) -2
D) -10