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If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction is [5/18]. What is original fraction?
  • a)
    4/9
  • b)
    4/5
  • c)
    8/9
  • d)
     8/11
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the numerator of a fraction is increased by 150% and the denominato...
Let the fraction be [n/d] & after that it becomes [2.5 n / 4 d]=5/18 . So we get the result as [4/9]
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Most Upvoted Answer
If the numerator of a fraction is increased by 150% and the denominato...

Given Information:
- The numerator of a fraction is increased by 150%
- The denominator of the fraction is increased by 300%
- The resultant fraction is 5/18

Let's Assume:
Let the original fraction be x/y.

Calculations:
- The numerator of the fraction after the increase = 1.5x
- The denominator of the fraction after the increase = 3y
- The new fraction after the increase = 1.5x / 3y = 5/18

Solving for x and y:
1.5x / 3y = 5/18
1.5x = 5y
x = 5y / 1.5
x = 10y / 3

Original Fraction:
The original fraction is x/y = (10y/3) / y = 10/3 = 4/9

Therefore, the original fraction is 4/9, which corresponds to option A.
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If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction is [5/18]. What is original fraction?a)4/9b)4/5c)8/9d)8/11e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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