Mathematics
Grade6
Easy

Question

One roll ribbon is 8 fraction numerator 3 over denominator 4 end fraction m long. Shelly has six full rolls and one-fourth of another roll. ________meters of ribbon Shelly has in total.

  1. 34 fraction numerator 11 over denominator 16 end fraction meters    
  2. 54 fraction numerator 11 over denominator 16 end fraction meters    
  3. 56 fraction numerator 11 over denominator 16 end fraction meters    
  4. 64 fraction numerator 11 over denominator 16 end fraction meters    

Hint:

To find the total length of all rolls of ribbon, we multiply the length of each roll of ribbon and number of rolls.

The correct answer is: 54 fraction numerator 11 over denominator 16 end fraction meters


    Number of  Rolls =space 6 1 fourth space equals space fraction numerator left parenthesis 6 cross times 4 right parenthesis plus 1 over denominator 4 end fraction space equals 25 over 4 rolls
    Length of ribbon in each roll = 8 3 over 4 m space equals fraction numerator left parenthesis 8 cross times 4 right parenthesis plus 3 over denominator 4 end fraction space equals 35 over 4 space m
    Number of meters of ribbon Shelly has in total equals 8 fraction numerator 3 over denominator 4 end fraction cross times 6 fraction numerator 1 over denominator 4 end fraction
    equals fraction numerator 35 over denominator 4 end fraction cross times fraction numerator 25 over denominator 4 end fraction
    equals fraction numerator 875 over denominator 16 end fraction equals 54 fraction numerator 11 over denominator 16 end fractionmeters
    Therefore, the total length of ribbon in meters = 54 11 over 16 meters.

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