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If you go on a road trip of 110 miles in the mountains and

the lowest terms.
of the trip is uphill, how many miles of the trip are not uphill? Reduce to the lowest terms

User Mislav
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Answer:

Therefore, the number of miles of the trip that are not uphill is 220/3 miles, which is approximately 73.33 miles, and cannot be reduced any further.

Let's first find out how many miles of the trip are uphill:

If the entire trip is uphill, then the entire distance of 110 miles is uphill.

If half of the trip is uphill, then the distance uphill is 110/2 = 55 miles.

If one-third of the trip is uphill, then the distance uphill is 110/3 ≈ 36.67 miles.

If two-thirds of the trip is uphill, then the distance uphill is 2/3 * 110 ≈ 73.33 miles.

Since we know that less than the entire trip is uphill, we can eliminate the first option.

Out of the remaining options, only one-third of the trip being uphill results in a reduced fraction when we subtract it from the total distance of the trip:

110 - 110/3 = 220/3

To reduce 220/3 to lowest terms, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

220/3 ÷ 1/1 = 220/3

Therefore, the number of miles of the trip that are not uphill is 220/3 miles, which is approximately 73.33 miles, and cannot be reduced any further.

I hope this helps!

User Imburningbabe
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