OSU-Marion Math Challenge Problem #7
Solutions due Monday February 25, 2008 at 5:00 pm
If n is a natural number, the reciprocal of n, 1/n, is called a 'unit fraction.'
Historically, numbers were expressed as sums of unit fractions,
like 4/7 = 1/2 + 1/14 or 1 = 1/2 + 1/3 + 1/6.
Write each of these fractions as sums of distinct unit fractions. Try to use as few unit fractions as possible and to make the sum of the denominators as small as possible.
a) 3/23 . . . b) 14/15 . . . c) 7/11 . . . d) 11/7
Make sure to give an explanation of how you got your answers.
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Correct solutions by current OSU-Marion and Delaware Center students will be recognized on this page and in Buckeye Briefs. The student with the most correct solutions at the end of the year will receive an award ($100 Gift Certificate)at the Academic Recognition Program in the Spring.
- Print out the problem from the following link : (Problem # 7 Print-Out )
- Submit a written solution to one of the Marion Math Faculty by Monday Februray 11 at 5:00.
- The next challenge will be posted Friday afternoon, February 9 and due Monday February 18 at 5:00
Math Challenge Archive
Week 1 Problem, Solution and Solvers
Week 2 Problem and Solvers
Week 3 Problem and Solvers
Week 4 Problem and Solvers
Week 5 Problem and Solvers
Week 6 Problem and Solvers
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