Jose, Louis, and Li bought a car to travel to and from work. If Jose paid 1/3 and Louis paid 2/5 of the cost, what fraction did Li pay?

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Multiple Choice

Jose, Louis, and Li bought a car to travel to and from work. If Jose paid 1/3 and Louis paid 2/5 of the cost, what fraction did Li pay?

Explanation:
Shares of the total cost must add up to the whole, which is 1. To find Li’s portion, first add the amounts paid by the other two: 1/3 plus 2/5. With a common denominator of 15, that’s 5/15 plus 6/15 = 11/15. Li’s share is the remaining part of the total: 1 − 11/15 = 4/15. Quick check: 11/15 + 4/15 = 1, so it fits perfectly. So Li pays 4/15. (Note that a fraction like 11/5 would exceed the total, which isn’t possible for a share of the cost, and 3/8 would not align with the calculated remaining amount.)

Shares of the total cost must add up to the whole, which is 1. To find Li’s portion, first add the amounts paid by the other two: 1/3 plus 2/5. With a common denominator of 15, that’s 5/15 plus 6/15 = 11/15. Li’s share is the remaining part of the total: 1 − 11/15 = 4/15. Quick check: 11/15 + 4/15 = 1, so it fits perfectly.

So Li pays 4/15. (Note that a fraction like 11/5 would exceed the total, which isn’t possible for a share of the cost, and 3/8 would not align with the calculated remaining amount.)

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