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Question

# If the sum of the repeating decimals 0.353535...+0.252525... is written as a fraction in lowest terms, the product of the numerator and denominator is

A
3465
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B
2475
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C
680
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D
670
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E
660
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Solution

## The correct option is E 6600.353535...+0.252525....=0.6060.....Letx=0.6060.....100x=60.6060....100x−x=6099x=60x=6099=2033Numerator =20 and Denominator =33Their product =33×20=660So correct answer will be option E

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