Math, asked by singhayushmaan783, 29 days ago

numerator and denominator of a fraction are in ratio 3 ratio 5 if 4 subtracted from numerator it reduces 1 by 5 find the fraction​

Answers

Answered by TheBrainliestUser
111

Answer:

  • The original fraction is 6/10.

Step-by-step explanation:

Given that:

  • Numerator and denominator of a fraction are in ratio 3 : 5.
  • 4 subtracted from numerator it reduces 1/5.

To Find:

  • The original fraction.

Let us assume:

  • Numerator be 3x.
  • Denominator be 5x.

When 4 subtracted from numerator:

  • Numerator = 3x - 4

Finding the fraction:

According to the question.

⟿ (3x - 4)/5x = 1/5

Cross multiplication.

⟿ 5(3x - 4) = 5x

⟿ 15x - 20 = 5x

⟿ 15x - 5x = 20

⟿ 10x = 20

⟿ x = 20/10

⟿ x = 2

We get:

  • Numerator = 3x = (3 × 2) = 6
  • Denominator = 5x = (5 × 2) = 10

∴ Original fraction = Numerator/Denominator

Original fraction = 6/10

Answered by SavageBlast
404

Answer:

Given:-

  • Numerator : Denominator = 3 : 5

  • If 4 subtracted from numerator it reduces 1 by 5.

To Find:-

  • The Fraction

Solution:-

Let numerator be 3x

And denominator be 5x

So, Fraction will be \dfrac{3x}{5x}

According to question,

New numerator will be = 3x-4

Which gives \dfrac{1}{5}

So new fraction:

⇒ \dfrac{3x - 4}{5x}  =  \dfrac{1}{5}

⇒5×(3x-4)=5x

⇒15x−20=5x

⇒15x−5x=20

⇒10x=20

⇒x=2

Fraction = \dfrac{3x}{5x} = \dfrac{3×2}{5×2} = \dfrac{6}{10}

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