Question

identify an appropriate ratio to convert ft to yd by using multiplication.

\\(\frac{1\text{ ft}}{3\text{ yd}}\\)

\\(\frac{3\text{ yd}}{1\text{ ft}}\\)

\\(\frac{1\text{ yd}}{3\text{ ft}}\\)

\\(\frac{3\text{ ft}}{1\text{ yd}}\\)

Explanation:

State the conversion relationship between feet and yards

$$ 1\text{ yd} = 3\text{ ft} $$

Set up the dimensional analysis multiplication to convert feet to yards

$$ \text{Value in ft} \times \frac{1\text{ yd}}{3\text{ ft}} = \text{Value in yd} $$

Identify the matching conversion ratio

$$ \frac{1\text{ yd}}{3\text{ ft}} $$

Answer:

• (A) \(\frac{1\text{ ft}}{3\text{ yd}}\)
• (B) \(\frac{3\text{ yd}}{1\text{ ft}}\)
• (C) \(\frac{1\text{ yd}}{3\text{ ft}}\) (Correct answer)
• (D) \(\frac{3\text{ ft}}{1\text{ yd}}\)