Difference between revisions of "Activities/Abacus/Worksheet/Answersheet"
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Is this all of the possibilities? | Is this all of the possibilities? | ||
| − | See Diophantine equations, computer programs [http://tonyforster.blogspot.com/2010/09/turtle-diophantine.html including ones written in TurtleArt] can find all the solutions by trial and error. | + | See [http://en.wikipedia.org/wiki/Diophantine_equation Diophantine equations], computer programs [http://tonyforster.blogspot.com/2010/09/turtle-diophantine.html including ones written in TurtleArt] can find all the solutions by trial and error. |
Revision as of 23:30, 4 April 2011
Answers to the Abacus Worksheet
Ways to make 1/2 just using one string
To make 1/2 just using one string, the fraction denominator must be divisible by 2. The string must contain an even number of beads, 2 4 6 8 10 12
Ways to make 1/2 with more than one string
1/3 + 1/6
1/3 + 2/12
1/4 + 1/6 + 1/12
1/4 + 2/8
1/4 + 3/12
Is this all of the possibilities?
See Diophantine equations, computer programs including ones written in TurtleArt can find all the solutions by trial and error.