Math, asked by agalotcheska23, 4 months ago

The denominator of a fraction is 2 more than the numerator, Adding 1 on both numbers result to what is fraction​

Answers

Answered by kr6834008
1

sorry I didn't know about this question on the

Answered by diyakhrz12109
1

Answer:

Step-by-step explanation:

Let numerator be p.

Denominator is p + 2.

⇒ Fraction =  \frac{p}{p+2}    

p / p+2 + p+2/p = \frac{34}{15}

⇒ 15(p^2+ p^2 + 4p + 4) = 34(p^2 + 2p)

⇒ 30p^2 + 60p + 60 = 34p^2 + 68p  

⇒ 4p^2 + 8p - 60 = 0

⇒ p^2 + 2p - 15 = 0

⇒ p^2 + 5p - 3p - 15 = 0

⇒ p(p + 5) - 3(p + 5) = 0

⇒ (p + 5)(p - 3) = 0

⇒ p = 3

Therefore

Fraction = \frac{3}{5}

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