Activities/Abacus/Worksheet

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Fractions

===The Fraction abacus===Start Abacus Abacus-icon.png,


select the Fraction abacus.

Functionabacus.jpg


Slide one of the 1/2 beads to represent 1/2

Abacus1of2.jpg


Another way to represent 1/2 is to slide half of another string of fraction beads, for example slide 2 of the 1/4 beads. That is (2 x 1)/4 = 2/4 = 1/2

Abacus2of4.jpg


How many ways can you make 1/2, remember you can use 2 strings eg. 1/3 + 1/6 = 1/2


If using just one string, only some of the strings of beads can be used to make 1/2. Which ones? Why?


How do you know if you have found all the solutions?


The Caacupé abacus

Load the Caacupé abacus

It can represent negative whole numbers and fractions. 1/2 can be represented as 1 - 1/2 or 10 - 9 - 1/2

How many different ways can you represent 1/2 , 1/3, 2/3

How do you know when you have found them all?


see the answersheet