Out of the following fractions which is the greatest? 12,34,45,32,63.
A
63
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B
45
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C
34
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D
12
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Solution
The correct option is A63
LCM=2×1×1×2×5×1×3=60 ∴ the fractions become 3060 , 4560 , 4860 , 9060 , 12060...........................[all of these are known as equivalent fractions] Reducing all of these to its simplest form will give the fractions given in the question.
Looking at the equivalent fractions we can infer that 12060 is the greatest of them all as its numerator is greater than denominator and also 120>90, hence 12060 is the greatest of the numbers given.