This document contains notes from a mathematics class taught by Soumya.S at Fatima Memorial Training College. The notes cover several topics: 1) Integers and rational numbers, defining integers as numbers that can be written without fractions and rational numbers as numbers that can be written as integers or fractions. 2) Rational expressions and how any rational number can be written as a fraction. 3) Different forms of rational expressions using the same rational number with different variables. 4) Operations including addition, subtraction, multiplication, and division of rational expressions.

2. Name of the college : Fatima Memorial
Training College
Name of the teacher : Soumya.S
Name of the subject : Mathematics
Reg.no : 13352019

3. `n¶IkwJyIÄ

4. ]qÀ®kwJyIÄ (integers)
F®Â kwJyIÄ, AhbpsS yq §Ä Chsb FÃmw
s]mXphmbn ]qÀ®kwJyIÄ F¶mWv ]dbp¶Xv.

5. `n¶IkwJyIÄ (Rational Numbers)
]qÀ® kwJyIÄ, `n¶kwJyIÄ (A[n kwJyIfpw yqkwJyIfpw)
F¶nhbvs¡ Ãmw s]mXphmbn¸dbp¶ t]cmWv `n¶I kwJyIÄ

6. `n¶Icq]w
GXp `n¶I kwJytbbpw (`n¶kwJy bmbmepw
]q˨kwJybmbmepw)
, xy
x
y
F¶o]qÀ®kwJyIÄ D]tbmKn¨v
F¶ cq]¯nsegpXmw

7. hnhn[ cq]§Ä
Hcp `n¶IkwJybpsS Awit¯bpw tOZt¯bpw Htc ]qÀ®kwJy sImv (0
HgnsI) KpWn¨m B `n¶I¯nsâ Xs¶ ]e ]e cq]§Ä In«pw.
 0
a ax
x
 
b bx

8. `n¶I§fpsS XpI
aP
bq
,F¶nh `n¶I§fmbmÂ,
a p a  q  b 
p
 
b q b q


aq bp
bq


9. `n¶I§fpsS hyXymkw
aP
bq
F,¶nh `n¶I§fmbmÂ,
a p a  q  b 
p
 
b q b q


aq bp
bq


10. `n¶I§fpsS KpWw
aP
bq
, F¶nh `n¶I§fmbmÂ,
a p a 
p
b q b q
 

ap
bq


11. `n¶I§fpsS lcWw
aP
bq
F,¶nh `n¶I§fmbmÂ,
a P a q
  
b q b p
a 
q
b p
aq
bp


