Activities/Abacus/Worksheet/Answersheet
< Activities | Abacus | Worksheet
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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.