CLICK ORIGAMI FACTIONS TO SEE PAPER FOLDING TECHNIQUES
 

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Division of Fractions
Step1: Left click a section of gold beads to set first denominator. PLA. Left click another section of the gold beads that remain against the right post to set second denominator. PLA. The adjacent rectangle of brown beads equals the whole but not the solution denominator.
Step2: Left click a section of the gold beads of the second denominator to set its numerator. PLA. The second numerator appears flipped in the equivalent multiplication statement. Note the colored rows of the paper pie representing the second fraction. 
Step3: Counting from right to left,left click a section of the gold beads against the left post equal the numerator of the second fraction. PRA.
The displaced columns of the rectangle remaining to the left, represent an equivalent part of the whole and is the solution denominator. 
Step4. Left click another section of the gold beads against the left post to set the numerator of the first denominator. PRA. Note the colored columns of the paper pie representing the first fraction, and the equal number of displaced columns from the rectangle, representing an equivalent piece of the whole and not just a piece of the previously displaced part. The number of beads in this piece equal the colored rectangular slices of the columns of the paper pie and the solution numerator. The solution to the division of fraction problem in terms of paper pies can be formulated as a piece of the whole pie divided by or compared to a part of the whole pie. In other words, the numerator is equal the slices in a piece of or the colored columns of the whole pie and the denominator is equal the slices in a part of or the colored rows of the whole pie. 		 Addition of Fractions 
Step1: Left click a section of gold beads to set first denominator. PLA. Left 
click another section of the gold beads that remain against the right post to set second denominator. PLA. The adjacent rectangle of brown beads 
equals the whole, the equivalent and the solution denominators.
Step2: Left click a section of the gold beads of the second denominator to set its numerator. PLA. Note the colored rows of the paper pie representing the second fraction. 
Step3: Counting from right to left, left click a section of the gold beads against the left post equal the numerator of the second fraction. PRA.
The displaced columns of the rectangle remaining to the left, represent an equivalent part of the whole, and the equivalent numerator of the second
fraction. 
Step4. Left click another section of the gold beads against the left post to set the numerator of the first denominator. PRA. Note the colored columns of the paper pie representing the first fraction, and the equal number of displaced columns from the rectangle, representing an equivalent piece of the whole and the equivalent numerator of the first fraction. The number of beads in this piece equal the colored rectangular slices of the columns of the paper pie. The solution to the addition of fraction problem in terms of paper pies can be formulated as a piece  of the whole pie plus a part of the whole pie divided by or compared to the whole pie. In other words, the numerator is equal the slices in a piece of or the colored columns of the whole pie plus the slices in a part of or the colored rows of the whole pie and the denominator is equal the slices in the whole pie.