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Chapter 7: Fractions

Jab bhi hum roti baant-te hain, aadha metre naapte hain ya “sava teen” kehte hain, hum fractions use karte hain. Is chapter mein hum barabar hisson se fractions banayenge, unse naapenge, unhe number line par rakhenge, alag dikhne wale par barabar fractions dhoondhenge, unki tulna karenge, aur aakhir mein unhe jodenge aur ghatayenge.

Is chapter mein tum

  • barabar hisson se fractions banana aur numerator, denominator padhna
  • fractional units se lambai aur maatra naapna
  • number line par fractions rakhna aur mixed fractions likhna
  • equivalent fractions dhoondhna, tulna karna, aur jodna-ghatana

Topics

  1. Fractional Units aur Barabar Hisse NCERT 7.1

    Fractional unit whole ke kai barabar hisson mein se ek hai: 1/2, 1/3, 1/4 …

  2. Fractional Units: Whole ke Hisse NCERT 7.2

    Numerator (upar) = kitne hisse liye. Denominator (neeche) = whole mein kitne barabar hisse.

  3. Fractional Units se Naapna NCERT 7.3

    Fractional units whole units ke beech ki lambai naapti hain.

  4. Number Line par Fractions NCERT 7.4

    k/d rakhne ke liye: har whole ko d barabar gaps mein kaato aur 0 se k jumps lo.

  5. Mixed Fractions NCERT 7.5

    1 se bada fraction mixed fraction mein likh sakte hain: 11/4 = 2 3/4.

  6. Equivalent Fractions NCERT 7.6

    Equivalent fractions same maatra batate hain: 1/2 = 2/4 = 3/6.

  7. Fractions ki Tulna NCERT 7.7

    Same neeche: bada upar bada. Same upar: chhota neeche bada.

  8. Fractions Jodna aur Ghatana NCERT 7.8, 7.9

    Same neeche: upar jodo ya ghatao, neeche wahi rakho.

Key words

Fraction
whole ke barabar hisson ko batane wala number, jaise 3/4
Numerator
upar ka number: kitne hisse liye
Denominator
neeche ka number: whole kitne barabar hisson se bana
Mixed fraction
whole number aur fraction saath mein, jaise 2 1/3
Equivalent fractions
same maatra batane wale fractions, jaise 1/2 aur 3/6
Lowest terms
jis fraction ke upar aur neeche ka 1 ke alawa koi common factor na ho

Summary

  • Fractional unit kai barabar hisson mein se ek hai: jitne zyada hisse, utna chhota har ek.
  • k/d matlab 1/d ke k unit; d/d = 1.
  • Fractions ki number line par jagah hai; 1 se bade fractions mixed fractions mein likhe ja sakte hain.
  • Upar aur neeche ko same number se guna ya bhaag karne se equivalent fraction milta hai.
  • Alag neeche wale fractions ki tulna, jod ya ghatav ke liye pehle unhe common neeche ke saath likho.

Final exercise: poore chapter par khud ko parkho →