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John has a roll containing 24 3/4 feet of wrapping paper. He wants to divide it into 11 pieces. First though he must cut off 5/6 foot because it was torn. How long will each price be?

Respuesta :

Kalahira
2 23/132 or in decimal 2.1742



Easiest way to solve this is to convert the length of wrapping paper into an improper fraction. So we have

24 3/4 = (4*24+3)/4 = 99/4



Now subtract the 5/6 feet of paper. First determine the common denominator for 4 and 6, which is 12. Then convert both fractions to the same denominator.



99/4 - 5/6 = 297/12 - 10/12 = 287/12



Now divide by 11 by simply multiplying the denominator by 11.

287/12 / 11 = 287/12 * 1/11 = 287/132



And finally convert from an improper fraction to a proper fraction.

287/132 = 2 23/132