Question

convert 47,759 inches to miles, using these facts.

\\(1\text{ mi} = 1760\text{ yd}\\), \\(1\text{ yd} = 3\text{ ft}\\), and \\(1\text{ ft} = 12\text{ in}\\).

47,759 inches \\(= \square\\) miles
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Identify conversion factors

We need to convert inches to miles. The given conversion facts are:

• \(1\text{ mi} = 1760\text{ yd}\)
• \(1\text{ yd} = 3\text{ ft}\)
• \(1\text{ ft} = 12\text{ in}\)

Calculate total inches in one mile

To find how many inches are in a mile, we multiply the conversion factors together:

$$ 1\text{ mi} = 1760\text{ yd} \times 3\frac{\text{ft}}{\text{yd}} \times 12\frac{\text{in}}{\text{ft}} $$

$$ 1\text{ mi} = 1760 \times 3 \times 12\text{ in} = 63,360\text{ in} $$

Convert given inches to miles

We divide the given number of inches by the total inches in one mile:

$$ \text{Miles} = \frac{47,759\text{ in}}{63,360\text{ in/mi}} $$

$$ \text{Miles} \approx 0.753772... $$

Round to two decimal places

Rounding \(0.753772...\) to two decimal places gives:

$$ 0.75 $$

Answer:

Convert 47,759 inches to miles, using these facts.
\(1\text{ mi} = 1760\text{ yd}\), \(1\text{ yd} = 3\text{ ft}\), and \(1\text{ ft} = 12\text{ in}\).

47,759 inches \(\approx\) <blank>0.75</blank> miles