Question

(round to the nearest tenth as needed.)

1. use dimensional analysis to convert the quantity to the indicated units.

9 in. to yd
12 inches (in.) = 1 foot (ft)
3 feet = 1 yard (yd)
36 inches = 1 yard
5280 feet = 1 mile (mi)

Explanation:

Step1: Recall the conversion factor

We know that 36 inches = 1 yard. So we can set up the conversion as a fraction where the units will cancel out appropriately. The conversion factor is $\frac{1\ \text{yd}}{36\ \text{in}}$.

Step2: Multiply the given quantity by the conversion factor

We have 9 inches, so we multiply 9 in by $\frac{1\ \text{yd}}{36\ \text{in}}$. The inches units will cancel out, and we are left with yards. So the calculation is $9\ \text{in} \times \frac{1\ \text{yd}}{36\ \text{in}}$.

Step3: Perform the arithmetic

Simplify the fraction $\frac{9}{36}=\frac{1}{4} = 0.25$. So $9\ \text{in} \times \frac{1\ \text{yd}}{36\ \text{in}}= 0.25\ \text{yd}$.

Answer:

0.25 yd