College

Convert the following into a representative fraction:

One centimeter equals 6.25 miles.

A) 1/1,005,840
B) 1/6.25
C) 1/62,500
D) 1/625,000
E) 1/15.875

Answer :

To convert the statement "One centimeter equals 6.25 miles" into a representative fraction, we will find out how many centimeters there are in 6.25 miles and then express this as a fraction.

Here is the step-by-step solution:

1. Understand the conversion between miles and inches:
- There are 63,360 inches in a mile.

2. Convert miles to inches:
- Since 1 mile = 63,360 inches, then 6.25 miles = 6.25 63,360 inches.

3. Find out how many inches this is:
- 6.25 63,360 = 395,850 inches.

4. Convert centimeters to inches:
- We know that 1 centimeter equals approximately 0.393701 inches.

5. Calculate how many centimeters are equivalent to the total inches:
- 395,850 inches / 0.393701 inches per centimeter gives us the equivalent number of centimeters.

6. Calculate the representative fraction:
- The representative fraction is the ratio of 1 centimeter to the number of centimeters we calculated in the previous step.
- So, it would be 1 divided by that number.

After performing these calculations, the representative fraction is closest to 1/1,005,840, which matches option (A).

Therefore, the answer is: A) 1/1,005,840.

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