Question

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​

Answer 1

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

Answer 2

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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