Question

The denominator of a fraction is 4 more than its numerator. On subtracting
1 from each numerator and denominator, the fraction becomes 1/2. Find
the original fraction.​

Answer 1

Question

⠀⠀⠀⠀⠀• The denominator of a fraction is 4 more ⠀⠀⠀⠀⠀than its numerator. On subtracting ⠀⠀⠀⠀⠀1 from each numerator and denominator, ⠀⠀⠀⠀⠀the fraction becomes 1/2. Find the original ⠀⠀⠀⠀⠀fraction.

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Answer

⠀⠀⠀⠀⠀• Fraction

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Given

⠀⠀⠀⠀⠀• The denominator of a fraction is 4 more ⠀⠀⠀⠀⠀than its numerator.

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To Calculate

⠀⠀⠀⠀⠀• Fraction?

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Step by step explanation

The denominator of a fraction is 4 more than its numerator ( Given)

➥ Let The numerator be x

Then

➥ Denominator be y

Now

1 from each numerator and denominator, the fraction becomes 1/2.

Lets Form equation

➥ x-1 /(x+4)-1 = 1/2

➥x-1 / x+3 =1/2

➥ 2(x-1) = x+3

➥ 2x-2 =x+3

➥ 2x-x=3+2

➥ x=5

Now

Denominator is x+4 = 5+4 =9

So,

The fraction is 5/9

$\bf\underline{\underline{\red{Hence:-}}}$

⠀⠀⠀⠀⠀• Fraction is 5/9

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Answer 2

5/9

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