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The numerator of a fraction is one less than its denominator.If three is added to each of the numerator and denominator,the fraction is increased by 3/28.find the fraction

 Consider Denominator = x

Then the numerator will be x-1

So, the fraction will be x-1/xNow, they have said that if 3 is added to both the denominator and the numerator.

Then the fraction will be x-1+3/x+3 = x-1/x + 3/28

X+2/x+3 = 28x - 28 + 3x/ 28x

28x(x+2) = (31x - 28)(x+3)

28x(square) + 56x = 31x(square) - 28x + 93x - 84

31x(square) - 28x(square) + 93x - 28x - 56x - 84

3x(square) + 9x - 84?..................... Divide this whole equation by 3 to simplify it..

You get, x(square) + 3x - 28

X(square) + 7x - 4x - 28

X(x+7) -4(x+7)

(x-4) , (x+7)

X = 4 or -7

Thus the fraction is, 3/4 or -6/-7

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pranjali kanci really gud answer. But as the fraction is x-1/x  and x=-7 ,then the fraction would become 8/7 and so the fraction would be only 3/4 as 8/7 dosent satisfy x-1/x
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Good
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3/4 its right
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Let the Denominator = x

numerator = (x-1)

fraction = numerator/denominator

Fraction = x-1/x

A.T.Q

x-1+3/x+3 = x-1/x + 3/28

x+2/x+3 = 28x - 28 + 3x/ 28x

28x(x+2) = (31x - 28)(x+3)

28x² + 56x = 31x² - 28x + 93x - 84

31x² - 28x² + 93x - 28x - 56x - 84

3x² + 9x - 84

[ Divide by 3]


x²+ 3x - 28

x²+ 7x - 4x - 28

x(x+7) -4(x+7)

(x-4) (x+7)

x = 4 or -7 [x is a natural number, x>0]

Hence , x= 4

Fraction = x-1/ x = 4-1 /4 = ¾

Hence, the fraction is 3/4
  • 4
Plz answer this question shortly...
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The numerator of a fraction is one less than denominator. If 3 is added to each of the numerator and denominator the fraction increase by 3/28.Find the fraction

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👍
  • -4
Hope this answer will helpful to you

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I don't want to write but my answer is same as  Sri and Rajive's answer...
  • -5
This will help u!!!!

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Let the Denominator = x

numerator = (x-1)

fraction = numerator/denominator

Fraction = x-1/x

A.T.Q

x-1+3/x+3 = x-1/x + 3/28

x+2/x+3 = 28x - 28 + 3x/ 28x

28x(x+2) = (31x - 28)(x+3)

28x² + 56x = 31x² - 28x + 93x - 84

31x² - 28x² + 93x - 28x - 56x - 84

3x² + 9x - 84

[ Divide by 3]


x²+ 3x - 28

x²+ 7x - 4x - 28

x(x+7) -4(x+7)

(x-4) (x+7)

x = 4 or -7 [x is a natural number, x>0]

Hence , x= 4

Fraction = x-1/ x = 4-1 /4 = ¾

Hence, the fraction is 3/4
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