Question

The numerator of a fraction is 2 less than the denominator. If 3 is subtracted from both the numerator and denominator , the fraction becomes 4/5. Find the fraction. pls answer

Answer 1

✬ Fraction = 11/13 ✬

Step-by-step explanation:

Given:

• Numerator of a fraction is 2 less than denominator.
• After subtracting 3 from both numerator and denominator the fraction becomes 4/5.

To Find:

• What is the fraction?

Solution: Let the denominator of fraction be d. Therefore,

➨ Numerator = 2 less than d

➨ Numerator = (d – 2)

So ,

➟ Fraction will be = Numerator/Denominator

➟ Fraction = (d – 2/d)

[ Now, subtracting 3 ]

• New numerator = (d – 2 – 3)
• New denominator = (d – 3)

∴ New fraction = (n – 2 – 3)/(d – 3)

A/q

• After subtracting 3 from both numerator and denominator the fraction becomes 4/5.

$\implies{\rm }$ (d – 2 – 3)/(d – 3) = 4/5

$\implies{\rm }$ 5(d – 5) = 4(d – 3)

$\implies{\rm }$ 5d – 25 = 4d – 12

$\implies{\rm }$ 5d – 4d = – 12 + 25

$\implies{\rm }$ d = 13

So,

➬ Denominator of fraction is d = 13

➬ Numerator of fraction is (d – 2)

=> 13 – 2 = 11

Hence, required fraction is n/d = 11/13