Question

A family arrives at the Walt Disney world parking lot to get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a train for 1/3 of their total distance and take a monorail for 1/2 of their total distance how far is it from their car to the gate of magic kingdom

Answer 1

Answer: 1.5 miles

This is equivalent to 3/2 as an improper fraction and 1 & 1/2 as a mixed number.

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Step-by-step explanation:

x = total distance in miles

The train and monorail take 1/3 and 1/2 of the total distance respectively

Add up those fractions to get

1/3 + 1/2 = 2/6 + 3/6 = 5/6

Remember that you can only add fractions when the denominators are the same.

5/6 of the total distance consists of the train and monorail.

That means the walking portion must be 1 - 5/6 = 6/6 - 5/6 = 1/6 of the total distance.

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In short, we found that 1/6 of the total distance consists of walking.

(1/6)x = 1/4 mile

x/6 = 1/4

4x = 6*1

4x = 6

x = 6/4

x = 3/2

x = 1.5 miles is the total distance

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Check:

1/6 of x = 1/6 of 3/2 = (1/6)*(3/2) = 3/12 = 1/4 mile walking

1/3 of x = (1/3)*(3/2) = 3/6 = 1/2 mile on the train

1/2 of x = (1/2)*(3/2) = 3/4 of a mile on the monorail

1/4 + 1/2 + 3/4 = 1/4 + 2/4 + 3/4 = 6/4 = 3/2 = 1.5 miles total

This confirms our answer.