Mathematics
Grade5
Easy

Question

At the beach, Mike built a sand castle that was 4 fraction numerator 2 over denominator 3 end fraction feet high. If he added a flag that was 2 fraction numerator 1 over denominator 6 end fraction feet high, the total height of his castle is __________

  1. 6 fraction numerator 1 over denominator 6 end fraction feet    
  2. 6 fraction numerator 2 over denominator 6 end fraction feet    
  3. 6 fraction numerator 5 over denominator 6 end fraction feet    
  4. 6 fraction numerator 4 over denominator 6 end fraction feet    

hintHint:

  • First convert the mixed fraction to improper fraction.
  • Then find the LCM of the denominators
  • Divide the LCM with each of the denominators and then multiply the quotient with each of the respective numerators.
  • Then add the fractions.
  • At last convert the sum into a mixed fraction.

The correct answer is: 6 fraction numerator 5 over denominator 6 end fraction feet


    Step 1:
    Height of sand castle = 4 fraction numerator 2 over denominator 3 end fraction feet
    Height of flag = 2 fraction numerator 1 over denominator 6 end fraction feet
    Step 2:
    Total height = 4 fraction numerator 2 over denominator 3 end fraction plus 2 fraction numerator 1 over denominator 6 end fraction
    equals fraction numerator 14 over denominator 3 end fraction plus fraction numerator 13 over denominator 6 end fraction equals fraction numerator 28 over denominator 6 end fraction plus fraction numerator 13 over denominator 6 end fraction
    = fraction numerator 41 over denominator 6 end fraction
    = 6 fraction numerator 5 over denominator 6 end fraction feet

    Avoid any mistakes while calculating.

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