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5. All fractions are built from unit fractions. Different combinations of fractions can

represent the same fraction (e.g., three-fourths of a whole can be represented by
three one-fourth pieces or by one one-fourth piece and one one-half piece).

6. Through concrete practice , the understanding of equivalence of fractions emerges

naturally.

7. Addition /Subtraction of two fractions can be easily taught using a fraction kit.

Let us understand its working.
1
1
Suppose we want to know how many (halves) and (one-fourths) make 1.
2 4
We can use different combinations of fraction discs
to check. 1

1 1 2
Clearly, one and two s will complete the circle
2 4 1 1
1 1
which can be represented as + 2 × = 1. 4 4
2 4
1 1
Example: How many s make ? 1 1 1
4 2 2 4 4

The kit can help visualise that 2 one-fourths is equal
1
to .
2

Often, students get confused when asked to compare two fractions. Suppose you ask
1 1
the students – which one is greater: or ?
3 8
Looking at the denominator, students often guess incorrectly.

1 1
Since 8 > 3, they usually say > , though this is incorrect. This concept can be
8 3
taught using fraction discs.

1 1 1
1 3 1 8 88 1
3 1 1 8 8 8 8 8 1

3 1 1

1 1
Here, the kit is enough to guide the student that > .
3 8

88 Mathematics 5