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Example 1
$7x \cdot \dfrac{5}{14x} = ?$
- $\dfrac{5x}{2}$
- $\dfrac{5}{2}$
- $\dfrac{5}{2x}$
- $\dfrac{2}{5}$
- $35x$
Solution
- Looking at the 5 possible answers, we need to simplify the given expression. Rewrite given expression as follows
- $7x \cdot \dfrac{5}{14x} = \dfrac{5\cdot7}{14}\dfrac{x}{x}$
- Factor denominator
$=\dfrac{5\cdot7}{2 \cdot 7}\dfrac{x}{x}$
- Cancel common terms to simplify
$=\dfrac{5}{2} \cdot \dfrac{\colorcancel{red}{7x}}{\colorcancel{red}{7x}}$
$=\dfrac{5}{2}$
Answer B
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