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If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?
- a)3/5
- b)5/16
- c)2/9
- d)18
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the numerator of a fraction is increased by 140 % and the denominat...
Let the original fraction be x/y.
Then new fraction
Then new fraction
Therefore 24/25(x/y) = 4/15
⇒ x/y = (4/15 Ã - 25/24) = 5/18
Therefore Original Fraction = 5/18
⇒ x/y = (4/15 Ã - 25/24) = 5/18
Therefore Original Fraction = 5/18
Most Upvoted Answer
If the numerator of a fraction is increased by 140 % and the denominat...
To solve this problem, let's assume the original fraction is a/b.
Given that the numerator is increased by 140%, we can write the new numerator as (a + 1.4a) = 2.4a.
Similarly, the denominator is increased by 150%, so the new denominator can be written as (b + 1.5b) = 2.5b.
We are given that the resultant fraction is 4/15. So we can set up the equation:
2.4a / 2.5b = 4/15
Let's cross multiply to solve for a and b:
(2.4a) * 15 = (2.5b) * 4
36a = 10b
Now, we need to find a and b in terms of each other. We can divide both sides of the equation by 2:
18a = 5b
Now we have two equations:
36a = 10b
18a = 5b
To find the value of a and b, let's divide the second equation by 18:
a = (5b)/18
Now, substitute this value of a in the first equation:
36((5b)/18) = 10b
Simplify the equation:
10b = 10b
This equation is true for any value of b. Therefore, b can be any value.
To find the original fraction, we can choose a specific value for b. Let's choose b = 1.
Using this value, we can find the value of a:
a = (5(1))/18
a = 5/18
Therefore, the original fraction is 5/18.
However, none of the answer choices given match this fraction. So, it seems there may be an error in the question or answer choices provided.
Given that the numerator is increased by 140%, we can write the new numerator as (a + 1.4a) = 2.4a.
Similarly, the denominator is increased by 150%, so the new denominator can be written as (b + 1.5b) = 2.5b.
We are given that the resultant fraction is 4/15. So we can set up the equation:
2.4a / 2.5b = 4/15
Let's cross multiply to solve for a and b:
(2.4a) * 15 = (2.5b) * 4
36a = 10b
Now, we need to find a and b in terms of each other. We can divide both sides of the equation by 2:
18a = 5b
Now we have two equations:
36a = 10b
18a = 5b
To find the value of a and b, let's divide the second equation by 18:
a = (5b)/18
Now, substitute this value of a in the first equation:
36((5b)/18) = 10b
Simplify the equation:
10b = 10b
This equation is true for any value of b. Therefore, b can be any value.
To find the original fraction, we can choose a specific value for b. Let's choose b = 1.
Using this value, we can find the value of a:
a = (5(1))/18
a = 5/18
Therefore, the original fraction is 5/18.
However, none of the answer choices given match this fraction. So, it seems there may be an error in the question or answer choices provided.
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Community Answer
If the numerator of a fraction is increased by 140 % and the denominat...
Let the original fraction be x/y.
Then new fraction
Then new fraction
Therefore 24/25(x/y) = 4/15
⇒ x/y = (4/15 Ã - 25/24) = 5/18
Therefore Original Fraction = 5/18
⇒ x/y = (4/15 Ã - 25/24) = 5/18
Therefore Original Fraction = 5/18
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If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?a)3/5b)5/16c)2/9d)18e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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