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Math  /  Numbers & Operations

Question2. There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2122 \frac{1}{2} miles. a. How many feet is that? b. How many inches is that?

Studdy Solution

STEP 1

1. There are 12 inches in 1 foot.
2. There are 5,280 feet in 1 mile.
3. Elena ran 2122 \frac{1}{2} miles.
4. We will first convert miles to feet, and then convert feet to inches.

STEP 2

1. Convert 2122 \frac{1}{2} miles to feet.
2. Convert the result from feet to inches.

STEP 3

First, convert the mixed number 2122 \frac{1}{2} miles to an improper fraction or a decimal for easier calculations. 212=2+12=42+12=52 miles 2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2} \text{ miles}

STEP 4

Use the conversion factor 5280 feet5280 \text{ feet} per mile to convert miles to feet. 52 miles×5280 feet per mile \frac{5}{2} \text{ miles} \times 5280 \text{ feet per mile}

STEP 5

Calculate the product to find the number of feet. 52×5280=5×2640=13200 feet \frac{5}{2} \times 5280 = 5 \times 2640 = 13200 \text{ feet}

STEP 6

Now, use the conversion factor 12 inches12 \text{ inches} per foot to convert feet to inches. 13200 feet×12 inches per foot 13200 \text{ feet} \times 12 \text{ inches per foot}

STEP 7

Calculate the product to find the number of inches. 13200×12=158400 inches 13200 \times 12 = 158400 \text{ inches}
Solution: a. 2122 \frac{1}{2} miles is 1320013200 feet. b. 2122 \frac{1}{2} miles is 158400158400 inches.

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