Question

identify an appropriate ratio to convert km to mi by using multiplication.

\\(\bigcirc\quad \frac{1\text{ mi}}{1.61\text{ km}}\\)

\\(\bigcirc\quad \frac{1.61\text{ km}}{1\text{ mi}}\\)

\\(\bigcirc\quad \frac{1.61\text{ mi}}{1\text{ km}}\\)

\\(\bigcirc\quad \frac{1\text{ km}}{1.61\text{ mi}}\\)

Explanation:

Identify the conversion relationship

$$ 1\text{ mi} \approx 1.61\text{ km} $$

Set up the dimensional analysis

$$ \text{km} \times \frac{\text{mi}}{\text{km}} = \text{mi} $$

Determine the correct conversion factor

$$ \frac{1\text{ mi}}{1.61\text{ km}} $$

Answer:

• (A) \(\frac{1\text{ mi}}{1.61\text{ km}}\) (Correct answer)
• (B) \(\frac{1.61\text{ km}}{1\text{ mi}}\)
• (C) \(\frac{1.61\text{ mi}}{1\text{ km}}\)
• (D) \(\frac{1\text{ km}}{1.61\text{ mi}}\)