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The product of two fractions is 14/15 and their quotient is 35/24. The greater fraction is
- a)4/5
- b)7/6
- c)7/4
- d)7/3
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The product of two fractions is 14/15and their quotient is 35/24.The g...
Let the two fractions be 'x' and 'y'.
xy = 14/15
x = 7/6
Putting the value of 'x' in xy = 14/15, the equation we get
So, y = y = 4/5
Comparing the values of x and y, we get the greater fraction is x = 7/6.
xy = 14/15
x = 7/6
Putting the value of 'x' in xy = 14/15, the equation we get
So, y = y = 4/5
Comparing the values of x and y, we get the greater fraction is x = 7/6.
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Community Answer
The product of two fractions is 14/15and their quotient is 35/24.The g...
To find the greater fraction from the given information, we can solve for the two fractions using algebraic equations. Let's assume the two fractions as a/b and c/d.
Given that the product of the two fractions is 14/15, we can write the equation as:
(a/b) * (c/d) = 14/15
Similarly, the quotient of the two fractions is 35/24, so we can write the equation as:
(a/b) / (c/d) = 35/24
Solving for the product equation:
(a/b) * (c/d) = 14/15
Cross-multiplying, we get:
ad = 14bc
Solving for the quotient equation:
(a/b) / (c/d) = 35/24
Dividing fractions, we get:
(ad) / (bc) = 35/24
Now we have two equations:
ad = 14bc
(ad) / (bc) = 35/24
By comparing the two equations, we can eliminate the ad/bc terms:
(ad) / (bc) = (ad) / (bc)
We are left with:
35/24 = 14/15
To solve this equation, we can cross-multiply:
35 * 15 = 14 * 24
525 = 336
Since this equation is not true, our assumption that the quotient of the two fractions is 35/24 is incorrect. Therefore, the product of the two fractions cannot be 14/15 and we need to reevaluate our assumption.
Hence, the given information is inconsistent and we cannot determine the greater fraction.
Given that the product of the two fractions is 14/15, we can write the equation as:
(a/b) * (c/d) = 14/15
Similarly, the quotient of the two fractions is 35/24, so we can write the equation as:
(a/b) / (c/d) = 35/24
Solving for the product equation:
(a/b) * (c/d) = 14/15
Cross-multiplying, we get:
ad = 14bc
Solving for the quotient equation:
(a/b) / (c/d) = 35/24
Dividing fractions, we get:
(ad) / (bc) = 35/24
Now we have two equations:
ad = 14bc
(ad) / (bc) = 35/24
By comparing the two equations, we can eliminate the ad/bc terms:
(ad) / (bc) = (ad) / (bc)
We are left with:
35/24 = 14/15
To solve this equation, we can cross-multiply:
35 * 15 = 14 * 24
525 = 336
Since this equation is not true, our assumption that the quotient of the two fractions is 35/24 is incorrect. Therefore, the product of the two fractions cannot be 14/15 and we need to reevaluate our assumption.
Hence, the given information is inconsistent and we cannot determine the greater fraction.
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The product of two fractions is 14/15and their quotient is 35/24.The greater fraction isa)4/5b)7/6c)7/4d)7/3Correct answer is option 'B'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about The product of two fractions is 14/15and their quotient is 35/24.The greater fraction isa)4/5b)7/6c)7/4d)7/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of two fractions is 14/15and their quotient is 35/24.The greater fraction isa)4/5b)7/6c)7/4d)7/3Correct answer is option 'B'. Can you explain this answer?.
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