Multiple choice general knowledge math & puzzles

The product of two fractions is 14/15 and their quotient is 35/24. the greater fraction is ?

  1. 4/5

  2. 7/6

  3. 7/5

  4. 7/4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the fractions be x and y with x > y. Given xy = 14/15 and x/y = 35/24. From x/y = 35/24, we get x = (35/24)y. Substituting: (35/24)y² = 14/15, so y² = (14/15) × (24/35) = 16/25, giving y = 4/5. Then x = (35/24) × (4/5) = 7/6.

AI explanation

The greater fraction is 7/6, not 4/5. Multiplying the product (14/15) by the quotient (35/24) gives the square of the larger fraction: x² = 49/36, so x = 7/6. Substituting back, the smaller fraction y = 4/5. Since 7/6 (≈1.17) is greater than 4/5 (0.8), 7/6 is the correct answer.

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