English

Chapter 8: Fractions ke Saath Kaam

Hum fractions jodna-ghataana jaante hain. Ab unka guna aur bhaag karenge: poore numbers se aur doosre fractions se. Kshetrafal se dekhenge ki niyam kyun chalte hain, jaanenge kab guna-phal aur bhaagphal bada ya chhota hota hai, aur asli aur aitihaasik sawaal hal karenge, chai ke cup se fawwaaron aur Līlāvatī ke mashhoor mazaak tak.

Is chapter mein tum

  • fractions ko poore numbers aur fractions se guna karna
  • kshetrafal model aur common factors kaatna
  • reciprocal se bhaag karna
  • fractions ke shabd-sawaal hal karna

Topics

  1. Fractions ka Multiplication NCERT 8.1

    a/b × c/d = (a × c)/(b × d); pehle common factors kaato.

  2. Fractions ka Bhaag NCERT 8.2

    a/b ka reciprocal b/a; guna-phal 1.

  3. Fractions ke Kuch Sawaal NCERT 8.3

    "Ka" matlab guna; barabar baantna matlab bhaag.

Key words

Product
guna ka nateeja
Reciprocal
ulta fraction: 3/5 ↔ 5/3
Cancelling
guna se pehle numerator aur denominator ko common factor se bhaag
Dividend
jise bhaag diya jaata hai
Divisor
jisse bhaag dete hain
Quotient
bhaag ka nateeja

Summary

  • a/b × c/d = (a × c)/(b × d), Brahmagupta ka niyam; pehle common factors kaato.
  • Fraction bhujaon wale aayat ka kshetrafal unka guna.
  • Bhaag ke liye bhaajak ke reciprocal se guna: a/b ÷ c/d = a/b × d/c.
  • 0 aur 1 ke beech wale se guna (ya bhaag) chhota (ya bada) karta hai.

Final exercise: poore chapter par khud ko parkho →