Example Question 3

Example corresponding to question 3 in algebra_4.

Example 1


$7x \cdot \dfrac{5}{14x} = ?$

  1. $\dfrac{5x}{2}$


  2. $\dfrac{5}{2}$


  3. $\dfrac{5}{2x}$


  4. $\dfrac{2}{5}$


  5. $35x$

Solution


  1. Looking at the 5 possible answers, we need to simplify the given expression. Rewrite given expression as follows

  2. $7x \cdot \dfrac{5}{14x} = \dfrac{5\cdot7}{14}\dfrac{x}{x}$

  3. Factor denominator

    $=\dfrac{5\cdot7}{2 \cdot 7}\dfrac{x}{x}$

  4. Cancel common terms to simplify

    $=\dfrac{5}{2} \cdot \dfrac{\colorcancel{red}{7x}}{\colorcancel{red}{7x}}$

    $=\dfrac{5}{2}$



    Answer B