3. Define equivalence relation on a set A. An equivalence relation R
on Z is defined as R = '{(a,b) e Z Z2 divides a - b}. Find
equivalence class of 0 i.e. (0).
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Answer:
Subtracting a fraction from a whole
Rewrite the whole as a fraction using t2 as the denominator :
t t • t2
t = — = ——————
1 t2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
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