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Line 1: − + − Ways to make 1/2 just using one string − [[File:Abacus1of2.jpg]][[File:Abacus2of4.jpg]] [[File:Abacus3of6.jpg]] [[File:Abacus4of8.jpg]] [[File:Abacus5of10.jpg]] [[File:Abacus6of12.jpg]]+ − 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 − − 3/9 + 2/12 − − 2/8 + 3/12 − − 1/6 + 4/12 − − 1/6 + 3/9 − − 1/6 + 2/8 + 1/12 − − 2/6 + 2/12 − − 1/5 + 3/10 − − 2/5 + 1/10 − − − Is this all of the possibilities? − − 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. − − Paste [[File:Turtle Art Activity fraction diophantine.ta |this code]] into Turtle Art to calculate all the possibilities − − This program can be modified for 1/3 and 2/3 and with more work it could be used for the Caacupé abacus.
Activities/Abacus/Worksheet/Answersheet (view source)
Revision as of 23:49, 14 June 2018
, 23:49, 14 June 2018Add header
==Answers to the Abacus Worksheet==
== Abacus/Worksheet/Answersheet ==
Read at https://help.sugarlabs.org/abacus_worksheet_answers.html
The source file has been moved to [https://github.com/godiard/help-activity/blob/master/source/abacus_worksheet_answers.rst GitHub]