Question

14. The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator
and the denominator, the fraction becomes 3/4 Find the fraction.
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Answer 1

Answer:

x - 3

Step-by-step explanation:

let the original fraction be x/x+2

X+3/x+2+3-3/4

X+3/x+5=3/4

4 (x+3)-3 (x+5)

4x+12-3x+15

4x-3x=15-12

X=3

Answer 2

Given:-

• The numerator of a fraction is 2 less than the denominator.
• If 3 is added to both the numerator and the denominator, the fraction becomes 3/4.

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To find:-

• The fraction.

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Solution:-

Let,

• the original fraction be x/x + 2.

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According to the question,

→ x + 3/x + 2 + 3 = 3/4

→ x + 3/x + 5 = 3/4

→ 4(x + 3) = 3(x + 5)

→ 4x + 12 = 3x + 15

→ 4x - 3x = 15 - 12

→ x = 3

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Hence,

• the fraction is x/x + 2 = 3/5.