Question

The numerator of a fraction is 3 less than its denominator. If 1 is added to both

numerator and denominator, it becomes equal to 5/8 . Find the original fraction.​

Answer 1

Answer:

4/7

Step-by-step explanation:

let the denominator of the fraction be x

therefore, numerator = x-3

after adding 1 to both fraction = 5/8

A/q

x-3+1/x+1 = 5/8

x-2/x+1 = 5/8

8(x-2) = 5(x+1)

8x-16 = 5x+5

8x-5x = 5+16

3x = 21

x = 21/3

x = 7

so x = 7

therefore denominator = x-3 = 7-3 = 4

therefore denominator = 7

numerator= 4

so the fraction is 4/7

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Answer 2

Answer:

4/7

Step-by-step explanation:

→ Let the denominator if the fraction be = X

→ Therefore, numerator is = x-3

→ After adding 1 to both fraction = 5/8

→ According to the question,

→ X - 3 + 1/X + 1 = 5/8

→ x - 2/X + 1 = 5/8

→ 8(x - 2) = 5(x + 1)

→ 8x - 16 = 5x + 5

→ 8x - 5x = 5 + 16

→ 3x = 21

→ x = 21/3

→ x = 7

→ Therefore, denominator = x - 3 = 7 - 3 = 4

→ Therefore, dominator = 7

→ Numerator = 4

→ So the fraction is = 4/7

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