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Question

The cat nursery is open two times a day. 2 over 3 hour at noon and straight c over 12 hour in evening. How much time is the cat nursery open everyday

  1. 13/12 hours
  2. 12/13 hours
  3. 13/14 hours
  4. 14/15 hours

The correct answer is: 13/12 hours


    Number of hour cat nursery open in noon =2 over 3 hour.
    Number of hour cat nursery open in evening =5 over 12 hour
    Time cat nursery open everyday =2 over 3+5 over 12.
    first we need to find common denomitator for 3 &12
    Multiples of 3=3,6,9,12,15
    Multiple of 12=12,24,36,48,60,…
    ∴ common denominator =12.
    Now, 2 over 3 plus 5 over 12
    not stretchy rightwards double arrow fraction numerator 2 cross times 4 over denominator 3 cross times 4 end fraction plus fraction numerator 5 cross times 1 over denominator 12 cross times 1 end fraction
not stretchy rightwards double arrow 8 over 12 plus 5 over 12 not stretchy rightwards double arrow 13 over 12
    13 over 12 hours cat nursery open everyday

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