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Noa is thinking of two fractions that a sum of 3/5. Each has a numerator of 1. What are the denominators of the fractions

User MHop
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1 Answer

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21 votes

Answer:

The denominators of the fractions are 2 and 10.

The fractions with numerators of 1 that have sum of 3 / 5 is calculated below

The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y

1 / x + 1 / y = 3 / 5

Therefore,

1 / x + 1 / y = 3 / 5

y + x / xy = 3 / 5

cross multiply

5y + 5x = 3xy

Using hit and trial method,

5(2) + 5(10) = 3(10)(2)

10 + 50 = 60

60 = 60

The values are same.

Therefore, the denominators are 2 and 10.

Explanation:

User Jarek Zmudzinski
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