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the product of 2 rational numbers is 14/15 and their quotient is 35/24 the greatest rational number is  
Asked by ashpokemongaming256 | 18 Jun, 2019, 20:05: PM
answered-by-expert Expert Answer
L e t space x space a n d space y space b e space t w o space r a t i o n a l space n u m b e r space s u c h space t h a t space x greater than y G i v e n colon space x cross times y equals 14 over 15 space.... space left parenthesis i right parenthesis space a n d space x over y equals 35 over 24 space.... space left parenthesis i i right parenthesis rightwards double arrow x equals 35 over 24 y S u b s t i t u t i n g space x space i n space left parenthesis i right parenthesis comma space w e space h a v e open parentheses 35 over 24 y close parentheses y equals 14 over 15 rightwards double arrow 35 over 24 y squared equals 14 over 15 rightwards double arrow y squared equals fraction numerator 14 cross times 24 over denominator 35 cross times 15 end fraction equals fraction numerator 2 cross times 7 cross times 8 cross times 3 over denominator 5 cross times 7 cross times 3 cross times 5 end fraction equals fraction numerator 2 cross times 8 over denominator 5 cross times 5 end fraction equals 16 over 25 rightwards double arrow y equals 4 over 5 T h e r e f o r e comma space x equals 35 over 24 cross times 4 over 5 equals 7 over 6 H e n c e comma space t h e space g r e a t e s t space r a t i o n a l space n u m b e r space i s space 7 over 6.
Answered by Renu Varma | 19 Jun, 2019, 11:07: AM

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