Question
Reasoning Consider that $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \cdot \frac{d}{c}$. Why must it be true that $b \neq 0, c \neq 0,$ and $d \neq 0 ?$
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Step 1: The given equation is $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \cdot \frac{d}{c}$. Show more…
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Choose the statement that is not true. Assume $b \neq 0, c \neq 0$, and $d \neq 0$ as necessary. $$ \text { (a) } \frac{a c}{b c}=\frac{a}{b} \quad \text { (b) } \frac{a}{b}+\frac{c}{b}=\frac{a+c}{b} $$ $$ \text { (c) } \frac{a}{b}-\frac{c}{d}=\frac{a d-b c}{b d} \quad \text { (d) } \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a c}{b d} $$
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