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equivalent if after reducing each fraction to its lowest terms, the value of the fractions

remains same.

For example, 21 =^24 =^36 =^84

Note :

1. A fraction remains unaltered in value if both the numerator and the denominator
   are multiplied by the same number.


2. A fraction remains unaltered in value if both the numerator and denominator are
   divided by the same number.

The idea may be explained to the child through some exercise. Prior knowledge of

reducing a fraction to its lowest terms may enable the child to understand the idea

better. These concepts may also be taught through the fraction operations in

abacus.

10. Comparison of fractions
    To compare two or more fractions, convert them into like fractions and then the
    fraction which has the greater numerator is said to be greater than the rest.

Steps : 1. Find the L.C.M. of the denominators.

2. Convert the fractions with L.C.M. as the common denominator.


3. The fraction having the greater numerator is the greater fraction.

The concept of comparison of fractions may be taught to the child through

demonstration using the abacus. Once the child is clear with the idea, he/she may be

asked to compare a few fractions on his/her own.

Eg. : Compare 32 and^53

15

10

5

5

3

(^2) × =

15

9

3

3

5

(^3) × =
5

3

3

∴ 2 >