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If the numerator of a fraction is increased by 200% and the denominator is increased by 350%, the resultant fraction is 5/12 . What was the original fraction?
  • a)
    5/9
  • b)
    5/8
  • c)
    7/12
  • d)
    11/12
Correct answer is option 'B'. Can you explain this answer?
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If the numerator of a fraction is increased by 200% and the denominat...
Let the original fraction be x/y
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If the numerator of a fraction is increased by 200% and the denominat...
Problem:

If the numerator of a fraction is increased by 200% and the denominator is increased by 350%, the resultant fraction is 5/12. What was the original fraction?

Solution:

Let the original fraction be x/y.

According to the problem,

New numerator = 3x (increased by 200%)

New denominator = 4y (increased by 350%)

The new fraction is 5/12.

Therefore, we can write:

3x/4y = 5/12

Cross-multiplying, we get:

36x = 20y

Dividing both sides by 4, we get:

9x = 5y

Therefore, the original fraction was:

x/y = 5/9 (obtained by dividing both sides by y)

Hence, the correct option is (B) 5/8.

Answer: Option (B) 5/8.
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If the numerator of a fraction is increased by 200% and the denominator is increased by 350%, the resultant fraction is 5/12 . What was the original fraction?a)5/9b)5/8c)7/12d)11/12Correct answer is option 'B'. Can you explain this answer?
Question Description
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