Divide and simplify.
-$\frac{28}{y-x} \div \frac{7}{x-y}$
A) $\frac{4(x-y)}{y-x}$
B) -28
C) 4
D) -4

Name: Divide and simplify. -$\frac{28}{y-x} \div \frac{7}{x-y}$ A) $\frac{4(x-y)}{y-x}$ B) -28 C) 4 D) -4
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Quizplus · Accepted Answer

Dividing fractions is the same as multiplying by the reciprocal. Here, $\frac{28}{y-x} \div \frac{7}{x-y} = \frac{28}{y-x} \times \frac{x-y}{7}$. Since $y-x = -(x-y)$, this simplifies to $\frac{28}{-(x-y)} \times \frac{x-y}{7} = -4$.

Divide and Simplify 28y−x÷7x−y\frac{28}{y-x} \div \frac{7}{x-y}y−x28​÷x−y7​ A) 4(x−y)y−x\frac{4(x-y)}{y-x}y−x4(x−y)​ B) -28 C) 4 D) -4

Divide and Simplify $\frac{28}{y-x} \div \frac{7}{x-y}$ A) $\frac{4(x-y)}{y-x}$ B) -28
C) 4
D) -4