Class 8 Maths · Chapter 8
Short answer: Class 8 Maths ka naya NCERT — Ganita Prakash (Part 1 + Part 2, 2026-27 session) — do parts me aata hai, total 14 chapters. Chapter 8 "Fractions in Disguise" Part 2 ka pehla chapter hai, jisme fractions ko naye tareeke se dekha jaata hai — ratio-based aur equivalence ke through, ek fraction ke "disguise" yaani chhupe hue roop ko pehchanna sikhaya jaata hai.
NCERT ne is session (2026-27) se Class 8 Maths ki purani single-book format ko hata kar do-part 'Ganita Prakash' series me rationalise kar diya hai — Part 1 (chapters 1 se 7) aur Part 2 (chapters 8 se 14), total milaake 14 chapters. Ye "class 8 maths new book name 2026-27" wala confusion bahut students aur parents ko ho raha hai, isliye clear kar dete hain: agar aapke bacche ki school Ganita Prakash use kar rahi hai, toh purani NCERT (jisme "Rational Numbers", "Linear Equations in One Variable" jaise separate chapters the) ab applicable nahi hai — content restructure ho chuka hai.
Chapter 8, "Fractions in Disguise", Ganita Prakash Part 2 ka opening chapter hai. Naam thoda mysterious lagta hai na — "disguise" matlab bhes badalna. Is chapter ka core idea yehi hai: ek hi fraction (ya ek hi ratio) alag-alag numbers ki shakal me dikh sakta hai, lekin unki underlying value same rehti hai. Jaise 1/2, 2/4, aur 50/100 — dikhte alag hain par "disguise" utaarne ke baad same fraction hain.
Ye chapter equivalent fractions, unki simplification, aur real-life ratio situations (jaise recipes, mixtures, scaling) ke through fractions ko naye angle se explain karta hai — jo ki Ganita Prakash ki overall philosophy hai: rote formula ratne ke bajaye concept ko reasoning se samajhna.
Chapter 8 Summary — 5 Minute Revision
Fractions in Disguise chapter equivalent fractions ke concept ko "disguise" ki analogy se explain karta hai — same value ke fractions different numbers me kaise dikh sakte hain, unhe kaise identify aur simplify karein, aur real-world ratio/proportion situations me is samajh ka use kaise hota hai.In-Text Questions — Solutions
Kya 3/4 aur 9/12 same fraction ke 'disguise' hain? Reasoning dijiye.
Haan. 3/4 ko 3 se multiply karo numerator aur denominator dono me:
3/4 = (3×3)/(4×3) = 9/12
Chunki 9/12 3/4 ko 3/3 (jo ki 1 ke barabar hai) se multiply karke aaya hai, value change nahi hui — sirf 'disguise' badla hai. Isliye 3/4 aur 9/12 equivalent fractions hain.
5/15 ka simplest 'undisguised' form kya hai?
HCF of 5 and 15 = 5.
5/15 = (5÷5)/(15÷5) = 1/3
Toh 5/15 asal me 1/3 ka hi disguise hai.
Ek recipe me aata aur cheeni ka ratio 2:3 hai. Agar 250g cheeni use karni ho, toh aata kitna chahiye?
Ratio 2:3 ko fraction ki tarah socho: aata/cheeni = 2/3.
aata/250 = 2/3
aata = (2×250)/3 = 500/3 ≈ 166.67 g
Yahan hum ratio ko scale kar rahe hain — jaise fraction ka disguise badal rahe hain, same tarah recipe scale hoti hai.
Exercise Questions — Solutions (Q1–Q6)
Check karo ki 7/21 aur 1/3 equivalent hain ya nahi.
7/21 ko simplify karte hain. HCF(7,21) = 7.
7/21 = (7÷7)/(21÷7) = 1/3
Haan, 7/21 aur 1/3 equivalent hain — dono same fraction ke disguise hain.
2/5 ke teen equivalent fractions likho jinke denominator 10, 15, aur 25 hon.
2/5 = (2×2)/(5×2) = 4/10
2/5 = (2×3)/(5×3) = 6/15
2/5 = (2×5)/(5×5) = 10/25
Toh 4/10, 6/15, aur 10/25 — teeno 2/5 ke hi disguise hain.
Ek class me ladke aur ladkiyon ka ratio 4:5 hai. Agar total students 36 hain, toh ladke kitne hain?
Total parts = 4 + 5 = 9
Ek part ki value = 36 ÷ 9 = 4 students
Ladke = 4 × 4 = 16
Verify: ladkiyan = 5 × 4 = 20; 16 + 20 = 36 ✓
12/18 aur 18/27 me kya same fraction hai? Simplify karke dikhao.
12/18 ka HCF = 6 → 12/18 = 2/3
18/27 ka HCF = 9 → 18/27 = 2/3
Haan, dono fractions same disguise hai — dono 2/3 hain.
Agar 3/8 = x/40 hai, toh x ki value nikaalo.
Denominator 8 se 40 tak jaane ke liye 5 se multiply karna hoga (8×5=40).
x = 3×5 = 15
Toh x = 15, aur 15/40 = 3/8 ka disguise hai.
Ek mixture me paani aur juice ka ratio 3:2 hai. Total mixture 500 mL hai. Juice kitna hai?
Total parts = 3+2 = 5
Ek part = 500 ÷ 5 = 100 mL
Juice = 2 × 100 = 200 mL
Verify: paani = 3×100 = 300 mL; 300+200 = 500 ✓
Important Equations — Ek Nazar Me
| Concept | Rule / Formula |
|---|---|
| Equivalent fraction banana | a/b = (a×k)/(b×k), jahan k ≠ 0 |
| Fraction simplify karna | a/b = (a÷HCF)/(b÷HCF) |
| Ratio ko fraction me convert | a:b = a/b |
| Ratio se parts nikalna | Ek part = Total ÷ (sum of ratio parts) |
| Cross-multiplication (proportion check) | a/b = c/d ⇔ a×d = b×c |
↔ Table ko side me swipe karein
Common Mistakes — Yahan Marks Kat te Hain
- Numerator ko multiply/divide karte waqt denominator ko bhool jaana — dono par same operation zaroor karo.
- Simplify karte waqt HCF poora nikaale bina beech me hi rok dena — hamesha lowest terms tak jaao.
- Ratio aur fraction ko alag treat karna, jabki ratio bhi ek fraction hi hai (a:b = a/b).
- Cross-multiplication apply karte waqt sign ya order galat rakh dena.
- Equivalent fractions dhoondte waqt sirf numerator ya sirf denominator ko dekh kar guess kar lena, calculation na karna.
- Real-life ratio problems (recipe, mixture) me 'total parts' nikalna bhool jaana aur seedha wrong number se divide kar dena.
Board-Style Important Questions
- Ye chapter naye Ganita Prakash Part 2 (2026-27 session) ka hissa hai — is exact chapter number/naam ke saath koi purana official board-level PYQ verify nahi ho paya, kyunki purani NCERT me ye chapter is form me exist nahi karta tha.
- Concept-level practice ke liye purani NCERT ke 'Comparing Quantities' aur 'Rational Numbers' chapters ke equivalent-fraction aur ratio-proportion wale questions is chapter ke topics se overlap karte hain — school/board resources se verify karke practice karein.
- Is session ke actual school/board-pattern questions ke liye apne school ke sample papers ya CBSE ki official sample question papers dekhna sabse reliable rahega, kyunki syllabus abhi naya hai.
- Jab tak naya syllabus stabilize nahi hota, students ko chahiye ki wo equivalent fractions aur ratio-proportion ke fundamental concept-based questions par focus karein, kyunki exact paper pattern abhi kisi official source se confirm nahi hua hai.
Aksar Poochhe Jaane Wale Sawaal
Class 8 Maths ki new NCERT book ka naam kya hai 2026-27 session me?
Naya naam Ganita Prakash hai, jo do parts me aata hai — Part 1 (chapters 1-7) aur Part 2 (chapters 8-14). Ye purani single-book NCERT Class 8 Maths ki jagah 2026-27 session se lagu hui hai.
Fractions in Disguise chapter Ganita Prakash ke kis part me hai?
Ye chapter Part 2 ka chapter 8 hai — Part 2 ka opening chapter, jisme fractions aur ratios ka relationship naye tareeke se explain kiya gaya hai.
Fractions in Disguise chapter me kya sikhaya jaata hai?
Ye chapter equivalent fractions ka concept sikhata hai — kaise ek hi fraction value alag-alag numerator-denominator combinations me dikh sakti hai ('disguise'), unhe identify aur simplify karna, aur ratio-proportion ke real-life applications jaise recipes aur mixtures.
Kya ye chapter purani NCERT ke kisi chapter jaisa hai?
Concept-wise ye purani NCERT ke 'Comparing Quantities' aur 'Rational Numbers' chapters ke equivalent-fraction/ratio portions se overlap karta hai, lekin exact structure aur naming Ganita Prakash me poori tarah nayi hai — direct one-to-one mapping claim nahi ki ja sakti bina official rationalisation document verify kiye.
Ganita Prakash Part 1 aur Part 2 me kitne chapters hain total?
Total 14 chapters hain — Part 1 me 7 (chapters 1-7) aur Part 2 me 7 (chapters 8-14).
Fractions in Disguise samajhne ke liye kaunsa prior concept zaroori hai?
Basic fraction operations (multiplication, division, HCF nikalna) aur ratio ka basic idea zaroori hai — ye chapter un par hi build karta hai, isliye pehle in basics ko strong karna helpful rahega.
Class 8 Maths — Saare Chapters
NCERT Kaksha ek swatantra shaikshik platform hai aur NCERT ya CBSE se aadhikarik roop se sambaddh (officially affiliated) nahi hai. Kisi galti ki jaankari dene ke liye contact kijiye.