Math Problem Statement

Convert 43763 inches to​ miles, using these facts. 1 mi=1760 ​yd, 1 y=3 ​ft, and 1 ft=12 in.

Solution

To convert 43,763 inches to miles, we need to break the problem down into multiple steps using the provided conversion factors.

Step 1: Convert inches to feet

1 foot = 12 inches.

43,763inches12inches/foot=3,646.92feet\frac{43,763 \, \text{inches}}{12 \, \text{inches/foot}} = 3,646.92 \, \text{feet}

Step 2: Convert feet to yards

1 yard = 3 feet.

3,646.92feet3feet/yard=1,215.64yards\frac{3,646.92 \, \text{feet}}{3 \, \text{feet/yard}} = 1,215.64 \, \text{yards}

Step 3: Convert yards to miles

1 mile = 1,760 yards.

1,215.64yards1,760yards/mile0.6907miles\frac{1,215.64 \, \text{yards}}{1,760 \, \text{yards/mile}} \approx 0.6907 \, \text{miles}

Thus, 43,763 inches is approximately 0.6907 miles.

Would you like more details on any step or have questions?


Here are 5 related questions:

  1. How would you convert 50,000 inches to miles?
  2. Can you convert 2 miles to inches using the same conversion factors?
  3. What is the length of 0.5 miles in yards?
  4. If a yardstick is 36 inches long, how many yardsticks would fit into 1 mile?
  5. How many feet are in 0.75 miles?

Tip: Always ensure units cancel out correctly in each conversion step to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Measurement

Formulas

1 foot = 12 inches
1 yard = 3 feet
1 mile = 1760 yards

Theorems

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Suitable Grade Level

Grades 6-8