✅ Pehle Yeh Aata Hai?
Yeh post shuru karne se pehle, in teen sawaalon ko 1 minute mein khud try kijiye:
- 3/4 ko percentage mein likho.
- 40% ko simplest fraction mein likho.
- 250 ka 10% kitna hai?
Answers dekho
- 3/4 × 100 = 300/4 = 75%
- 40% = 40/100 = 2/5 (20 se divide)
- Decimal ek ghar left: 250 → 25
Teeno sahi? Badhiya, aage chaliye! Koi galat hua? Koi baat nahi, Post 1 — Percentage Kya Hai? aur Post 4 — Percentage Jaldi Kaise Nikalein ek baar dekh lijiye, phir yahan wapas aaiye.
— 📌 charumam.com
🎬 Kahani: Ek Cheez, Teen Bhesh
Sunday ko Rohan dadi ke saath sabzi mandi gaya. Dadi boli, “Beta, aadha kilo tamatar le aa.”
Sabziwale ke digital taraazu (weighing machine) pe likha aaya: 0.5 kg.
Wapas aate hue ek dukaan ke board pe likha tha: “Sab kuch 50% OFF”, yaani aadhe daam.
Rohan ne socha, “Dadi ne kaha aadha (1/2), machine ne kaha 0.5, aur board ne kaha 50%… kya yeh teeno ek hi baat hai?” 🤔
Haan! Yeh ek hi cheez ke teen bhesh (disguise) hain: fraction, decimal aur percentage. Isliye to is chapter ka naam hai “Fractions in Disguise”. Aaj hum seekhenge ki ek bhesh se doosre bhesh mein kaise badlein. 😉
— 📌 charumam.com
📖 Concept: Teen Roop, Ek Hi Value
Step 1: Teeno ek hi sawaal ka jawab dete hain
Fraction, decimal aur percentage teeno batate hain: “Poori cheez (1) ka kitna hissa?”
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
WHY yeh barabar hain? 1/2 = 5/10 = 50/100. Aur 5/10 ko decimal mein 0.5 likhte hain, 50/100 ko 50%. Roop alag, hissa wahi: poori roti ka aadha.
Sabse zaroori baat: Poori cheez = 1 = 1.0 = 100%. Isi se saare badlaav (conversions) nikalte hain.
Step 2: Percentage → Decimal (÷ 100)
Percentage ka matlab “100 mein se”, to 100 se divide karo, yaani decimal do ghar left khisko aur % hata do.
- 45% = 45 ÷ 100 = 0.45
- 7% = 7 ÷ 100 = 0.07 (0 lagana zaroori hai!)
- 12.5% = 12.5 ÷ 100 = 0.125
WHY? 45% = 45/100, aur 45/100 ko decimal mein padhte hain “45 hundredths” = 0.45. Decimal ke baad doosra ghar hundredths (sauvaan) ka hota hai. 7% = 7/100 = 7 hundredths = 0.07, isliye tenths wale ghar mein 0 aata hai.
Step 3: Decimal → Percentage (× 100)
Ulta kaam: 100 se guna karo, yaani decimal do ghar right khisko aur % laga do.
- 0.6 = 0.60 → 60%
- 0.375 → 37.5%
- 0.04 → 4%
WHY? 100% = 1, isliye kisi bhi number ko “× 100%” karne se uski value nahi badalti (jaise × 1). 0.6 × 100% = 60%. Number wahi, sirf bhesh badla!
Step 4: Fraction → Decimal (upar ÷ neeche)
Tareeka A (denominator ko 10, 100 ya 1000 banao):
- 2/5 = (2 × 2)/(5 × 2) = 4/10 = 0.4
- 3/4 = (3 × 25)/(4 × 25) = 75/100 = 0.75
- 3/8 = (3 × 125)/(8 × 125) = 375/1000 = 0.375
Tareeka B (seedha divide karo): Fraction ki line ka matlab hi “÷” hai. 3/8 = 3 ÷ 8:
3 ko 3.000 likho. 30 ÷ 8 = 3 (baaki 6) → 60 ÷ 8 = 7 (baaki 4) → 40 ÷ 8 = 5 (baaki 0). Jawab = 0.375 ✅
WHY dono sahi hain? Upar aur neeche ko ek hi number se guna karne se fraction ki value nahi badalti (yeh equivalent fractions hain). Aur 3/8 matlab 3 cheezein 8 logon mein baanto, har ek ko 3 ÷ 8 milta hai.
Step 5: Decimal → Fraction (place value se)
Decimal ke baad jitne digits, neeche utne zero wala 10, 100, 1000 likho, phir simplify karo.
- 0.35 = 35/100 = 7/20 (5 se divide)
- 0.125 = 125/1000 = 1/8 (125 se divide)
- 0.8 = 8/10 = 4/5
WHY? 0.35 = 3 tenths + 5 hundredths = 35 hundredths = 35/100. Place value hi batati hai ki neeche 100 aayega.
Step 6: Fraction ↔ Percentage
Fraction → %: × 100 karo (Post 1 wala tareeka). 3/8 × 100 = 300/8 = 37.5%. Ya pehle decimal banao (0.375), phir do ghar right (37.5%).
% → Fraction: 100 ke upar likho, simplify karo. 62.5% = 62.5/100 = 625/1000 = 5/8.
Yaad rakhne ki trick (Triangle): Fraction –(÷)–> Decimal –(× 100)–> Percentage –(÷ 100, simplify)–> Fraction. Teeno ek gol chakkar mein jude hain! 🔄
Rohan ka jawab: 1/2 = 1 ÷ 2 = 0.5 = 0.5 × 100% = 50%. Teeno bilkul barabar. 🎉
— 📌 charumam.com
🔐 Deep Concept: Kuch Decimals Kabhi Khatam Nahi Hote
1/3 ko divide karo: 1 ÷ 3 = 0.3333… Har baar baaki 1 bachta hai, isliye 3 baar-baar aata hai. Yeh kabhi khatam nahi hota!
- 1/3 = 0.333… = 33 1/3 % (lagbhag 33.33%)
- 2/3 = 0.666… = 66 2/3 % (lagbhag 66.67%)
- 1/6 = 0.1666… = 16 2/3 %
- 1/9 = 0.111… = 11 1/9 %
WHY kuch khatam hote hain, kuch nahi? Fraction ko pehle simplest form mein lao. Agar denominator mein sirf 2 aur 5 ke factors hon (2, 4, 5, 8, 10, 20, 25, 40…), to use 10, 100, 1000 bana sakte ho, isliye decimal khatam ho jaata hai. Kyunki 10 = 2 × 5. Agar denominator mein 3, 7, 11 jaisa koi aur factor ho, to woh kabhi 10, 100, 1000 ka hissa nahi ban sakta, isliye decimal chalta rehta hai.
Isliye: Aise case mein fraction (1/3) sabse exact roop hai. 33.33% sirf andaaza hai, kyunki 3 × 33.33 = 99.99, poora 100 nahi!
| Fraction | Decimal | % |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 · 3/4 | 0.25 · 0.75 | 25% · 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.1 | 10% |
| 1/20 | 0.05 | 5% |
| 1/25 | 0.04 | 4% |
| 1/3 · 2/3 | 0.333… · 0.666… | 33 1/3% · 66 2/3% |
| 1/100 | 0.01 | 1% |
Yeh table yaad kar lo, aage har post mein kaam aayegi!
sirf charumam.com readers ke liye 🔐
✏️ Solved Examples
Example 1 (Easy): 0.35 ko percentage aur simplest fraction mein likho.
Percentage: decimal do ghar right → 35%
Fraction: 0.35 = 35/100 = (35 ÷ 5)/(100 ÷ 5) = 7/20
WHY sahi hai? Check: 7/20 = (7 × 5)/(20 × 5) = 35/100 = 0.35 ✅. Teeno roop ek hi value pe wapas aa gaye.
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Example 2 (Medium): 7/8 ko decimal aur percentage mein likho.
8 × 125 = 1000, isliye 7/8 = (7 × 125)/(8 × 125) = 875/1000 = 0.875
Percentage: 0.875 → do ghar right → 87.5%
WHY sahi hai? Seedha divide se check: 70 ÷ 8 = 8 (baaki 6), 60 ÷ 8 = 7 (baaki 4), 40 ÷ 8 = 5 (baaki 0) → 0.875 ✅. Andaaza: 7/8 lagbhag 1 ke paas hai, aur 87.5% bhi 100% ke paas hai. Theek!
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Example 3 (NCERT style): Ek class mein 40 bachche hain, unmein 18 ladkiyan hain. Ladkiyon ka hissa fraction, decimal aur percentage mein likho. Ladkon ka percentage bhi batao.
Fraction: 18/40 = 9/20 (2 se divide)
Decimal: 9/20 = (9 × 5)/(20 × 5) = 45/100 = 0.45
Percentage: 45%
Ladke = 40 − 18 = 22 → 22/40 = 11/20 = 55/100 = 55%
WHY check karein? Ladkiyan + ladke = poori class, to 45% + 55% = 100% hona chahiye. Hai! ✅
📌 charumam.com
Ab Rohan bhi expert: aadha = 1/2 = 0.5 = 50%. Bhesh koi bhi ho, pehchaan liya! 🎉
— 📌 charumam.com
🏠 Real Life Mein Teen Roop
- 📝 Test: 50 mein se 42 marks = 42/50 = 84/100 = 0.84 = 84%. Report card pe % likhte hain.
- 🏏 Cricket: Team ne 5 mein se 3 match jeete = 3/5 = 0.6 = 60% jeet.
- 🛍️ Dukaan: “Ek-chauthai daam kam” = 1/4 off = 25% off.
- ⚖️ Taraazu: 0.25 kg = 1/4 kg = 250 g (pav bhar).
- 🌧️ Mausam app: Baarish ki sambhavna 0.3 = 30%.
- 🏦 Bank: 7.5% byaaj ko calculator mein 0.075 likhte hain.
- 📏 Measuring tape: 0.25 m = 1/4 m = 25 cm, yaani 1 metre ka 25%.
Har jagah ek hi soch: roop badlo, value wahi rakho!
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Roop | ✅ Kab best hai | ❌ Kab mushkil |
|---|---|---|
| Fraction | Jab exact value chahiye (1/3, 2/3). Baantne aur guna-bhaag mein aasaan. | Do hisse jaldi samajhne hon (7/16 ya 9/20, kaun zyada? Ek nazar mein nahi dikhta) |
| Decimal | Paisa, naap-tol (kg, m), calculator mein. 0.075 seedha guna kar sakte ho. | 1/3 jaisa fraction ho, jiska decimal kabhi khatam nahi hota |
| Percentage | Doosron ko batana ho: marks, sale, battery, survey. Sab “100 mein se” mein, samajhna aasaan. | Calculation ke beech mein. Wahan pehle decimal ya fraction mein badlo |
— 📌 charumam.com
❌→✅ Worked Mistake
Sawaal: 0.8 ko percentage mein likho. Aur 5% ko decimal mein likho.
❌ Galat: “0.8 = 8%” aur “5% = 0.5”
Galti kya hai? Decimal sirf ek ghar khiskaaya! Percentage aur decimal ke beech hamesha 100 ka rishta hai, isliye do ghar khiskaana hota hai. Ek ghar khiskaana matlab sirf 10 se guna ya bhaag.
✅ Sahi: 0.8 = 0.80 → do ghar right → 80%. Aur 5% = 5 ÷ 100 → do ghar left → 0.05.
Check karne ka tareeka: 0.8 = 8/10 = 4/5, yaani 5 mein se 4 hisse. Yeh to zyaadatar cheez hai, sirf 8% kaise ho sakta hai? 80% hi sahi hai. Aur 0.5 = aadha = 50%, jabki 5% to bahut chhota hissa hai, isliye 5% = 0.05.
Yaad rakho: Decimal → % : do ghar right (× 100). % → Decimal : do ghar left (÷ 100). Jagah khaali ho to 0 bharo!
sirf charumam.com pe milenge!
📝 10 MCQs
Q1. 0.7 ko percentage mein likho.
Solution dekho
Sahi jawab: (b)
- (a) galat: decimal sirf ek ghar khiskaaya. 7% = 0.07 hota hai.
- (b) sahi: 0.7 = 0.70 → do ghar right → 70%. (0.7 = 7/10 = 70/100)
- (c) galat: sirf % laga diya, 100 se guna kiya hi nahi.
- (d) galat: 1000 se guna kar diya. 0.7 to 1 se chhota hai, 100% se kam hona chahiye.
Q2. 3/5 ka decimal kya hai?
Solution dekho
Sahi jawab: (b)
- (a) galat: 3 aur 5 ko bas saath likh diya. Fraction ka matlab 3 ÷ 5 hai.
- (b) sahi: 3/5 = (3 × 2)/(5 × 2) = 6/10 = 0.6.
- (c) galat: digits ulte likh diye, yeh koi tareeka nahi.
- (d) galat: yeh 5 ÷ 3 hai (ulta divide). 3/5 to 1 se chhota hai.
Q3. 8% ka decimal kya hai?
Solution dekho
Sahi jawab: (c)
- (a) galat: sirf ek ghar khiskaaya. 0.8 = 80% hota hai.
- (b) galat: % hata diya par 100 se divide nahi kiya.
- (c) sahi: 8% = 8/100 = 8 hundredths = 0.08.
- (d) galat: teen ghar khisak gaya (1000 se divide). Yeh 0.8% hai.
Q4. 0.45 ka simplest fraction kya hai?
Solution dekho
Sahi jawab: (b)
- (a) galat: 0.45 mein do decimal digits hain, neeche 100 aana chahiye. 45/10 = 4.5 hai.
- (b) sahi: 0.45 = 45/100 = (45 ÷ 5)/(100 ÷ 5) = 9/20.
- (c) galat: 4/5 = 0.8 hai, 0.45 nahi.
- (d) galat: 9/2 = 4.5 hai, bahut bada.
Q5. 1/8 ko percentage mein likho.
Solution dekho
Sahi jawab: (b)
- (a) galat: denominator ko hi percentage bana diya.
- (b) sahi: 1/8 × 100 = 100/8 = 12.5%. (1/8 = 0.125)
- (c) galat: 1 aur 8 ko saath likh diya.
- (d) galat: 80% = 4/5 hota hai, 1/8 nahi.
Q6. Inmein se kaun 1/4 ke barabar nahi hai?
Solution dekho
Sahi jawab: (c)
- (a) barabar hai: 1/4 = 25/100 = 0.25.
- (b) barabar hai: 0.25 = 25%.
- (c) barabar NAHI: 0.4 = 4/10 = 2/5 = 40%. Yahan “4” dekh ke dhokha hota hai!
- (d) barabar hai: 25/100 = 1/4 (25 se divide).
Q7. 62.5% ka simplest fraction kya hai?
Solution dekho
Sahi jawab: (a)
- (a) sahi: 62.5% = 62.5/100 = 625/1000 = 5/8 (125 se divide). Check: 5 ÷ 8 = 0.625.
- (b) galat: 3/5 = 60% hai.
- (c) galat: 5/6 = 83 1/3 % hai.
- (d) galat: 625/100 = 6.25 = 625%. Decimal hataate waqt neeche bhi 10 se guna karna tha (1000).
Q8. Kis fraction ka decimal kabhi khatam nahi hota?
Solution dekho
Sahi jawab: (c)
- (a) khatam hota hai: 8 = 2 × 2 × 2, 3/8 = 0.375.
- (b) khatam hota hai: 20 = 2 × 2 × 5, 7/20 = 0.35.
- (c) sahi: denominator 3 mein 2 ya 5 nahi hai. 2/3 = 0.666… chalta rehta hai.
- (d) khatam hota hai: 25 = 5 × 5, 9/25 = 0.36.
Q9. Ek team ne 16 mein se 12 match jeete. Jeet ka percentage kya hai?
Solution dekho
Sahi jawab: (b)
- (a) galat: jeete hue match ki ginti ko hi % maan liya. Total 100 nahi, 16 hai.
- (b) sahi: 12/16 = 3/4 = 0.75 = 75%.
- (c) galat: total ko % maan liya.
- (d) galat: 80% = 4/5 hota hai. 12/16 = 3/4, 4/5 nahi.
Q10. 0.025 ko percentage mein likho.
Solution dekho
Sahi jawab: (b)
- (a) galat: teen ghar khiskaaya (1000 se guna). 25% = 0.25 hota hai.
- (b) sahi: 0.025 × 100 = 2.5, yaani do ghar right → 2.5%.
- (c) galat: sirf ek ghar khiskaaya (10 se guna).
- (d) galat: 10000 se guna kar diya, bahut bada.
— 📌 charumam.com
❓ FAQs (Bachchon Ke Asli Sawaal)
1. Jab teeno ek hi cheez hain, to teen roop kyun chahiye?
Kyunki har roop alag kaam mein aasaan hai. Fraction exact hota hai (1/3), decimal calculator aur paise mein aasaan (₹0.50), aur percentage samjhaane mein (report card pe 84%). Jaise ek hi baat Hindi, English aur ishaare mein keh sakte ho: jahan jo samjhe, wahi bolo.
2. 100 se guna karke % laga dete hain, to value badal kyun nahi jaati?
Kyunki 100% = 100/100 = 1. “× 100%” asal mein “× 1” hai, aur 1 se guna karne se koi number nahi badalta. 0.6 = 0.6 × 100% = 60%. Galat tab hota hai jab sirf 100 se guna karo par % na lagao: 0.6 ≠ 60.
3. 0.5 aur 0.5% mein kya fark hai?
Bahut bada! 0.5 = aadha = 50%. Jabki 0.5% = 0.5/100 = 0.005, yaani 1000 mein se sirf 5. 0.5 wala 0.5% se 100 guna bada hai. Isliye % ka nishaan kabhi mat bhoolo.
4. Kuch fractions ka decimal khatam kyun nahi hota?
Hamara decimal system 10, 100, 1000 pe chalta hai, aur 10 = 2 × 5. Agar simplest fraction ke denominator mein sirf 2 aur 5 hon, to use 10, 100, 1000 bana sakte ho, decimal khatam. Agar 3, 7 jaisa factor ho (1/3, 2/7), to kabhi nahi ban sakta, isliye decimal chalta rehta hai. Pehle simplify zaroor karo: 3/12 = 1/4 = 0.25 khatam ho jaata hai!
5. 1/3 ko 33.33% likhein ya 33 1/3 %?
Exact jawab 33 1/3 % hai. 33.33% sirf andaaza (approximate) hai, kyunki 3 × 33.33% = 99.99%, poora 100% nahi. Rozmarra ke kaam mein 33.33% chalta hai, par maths mein exact chahiye to fraction wala roop likho.
6. Agar decimal 1 se bada ho, jaise 1.25, to?
Same niyam lagega: 1.25 → do ghar right → 125%. Haan, percentage 100% se zyada bhi ho sakta hai! Iska matlab aur iske sawaal hum Post 6 — 100% Se Zyada Percentage mein detail mein padhenge.
— 📌 charumam.com
🏋️ Practice Zone (12 Sawaal)
Q1. Easy 0.9 ko percentage mein likho.
Solution dekho
0.9 = 0.90 → do ghar right → 90%. Check: 0.9 = 9/10 = 90/100 ✅
Q2. Easy 35% ko decimal mein likho.
Solution dekho
35 ÷ 100 → do ghar left → 0.35.
Q3. Easy 1/5 ko decimal aur percentage mein likho.
Solution dekho
1/5 = (1 × 2)/(5 × 2) = 2/10 = 0.2 → do ghar right → 20%.
Q4. Easy 0.06 ko percentage mein likho.
Solution dekho
0.06 → do ghar right → 6%. Check: 0.06 = 6/100 = 6% ✅ (60% nahi!)
Q5. Medium 3/8 ko decimal aur percentage mein likho.
Solution dekho
8 × 125 = 1000 → 3/8 = 375/1000 = 0.375 → 37.5%.
Check: 3/8 × 100 = 300/8 = 37.5 ✅
Q6. Medium 0.64 ko simplest fraction aur percentage mein likho.
Solution dekho
0.64 = 64/100 = (64 ÷ 4)/(100 ÷ 4) = 16/25. Percentage = 64%.
Check: 16 × 4 = 64, 25 × 4 = 100 ✅
Q7. Medium 17.5% ko decimal aur simplest fraction mein likho.
Solution dekho
Decimal: 17.5 ÷ 100 = 0.175.
Fraction: 0.175 = 175/1000 = (175 ÷ 25)/(1000 ÷ 25) = 7/40.
Check: 40 × 25 = 1000, 7 × 25 = 175 ✅
Q8. Medium 11/20 ko decimal aur percentage mein likho.
Solution dekho
20 × 5 = 100 → 11/20 = 55/100 = 0.55 = 55%.
Q9. NCERT style Ek class ke 25 bachchon mein se 7 chashma pehente hain. Is hisse ko fraction, decimal aur percentage mein likho.
Solution dekho
Fraction = 7/25 (7 aur 25 ka koi common factor nahi, yahi simplest).
25 × 4 = 100 → 7/25 = 28/100 = 0.28 = 28%.
Q10. NCERT style 500 g ke biscuit packet pe likha hai: “protein = 0.08 hissa”. Ise percentage aur simplest fraction mein likho. Packet mein kitne gram protein hai?
Solution dekho
Percentage: 0.08 → 8%. Fraction: 8/100 = 2/25.
Protein = 500 × 0.08 = 40 g. Check: 500 × 2/25 = 1000/25 = 40 ✅
Q11. NCERT style Table poori karo: (i) 3/20 = ? = ?% (ii) ? = 0.72 = ?% (iii) ? = ? = 2.5%
Solution dekho
(i) 3/20 = 15/100 = 0.15 = 15%
(ii) 0.72 = 72/100 = 18/25 (4 se divide) = 72%
(iii) 2.5% = 2.5 ÷ 100 = 0.025 = 25/1000 = 1/40 (25 se divide)
Q12. NCERT style Riya ne test ke 50 mein se 39 sawaal sahi kiye. Sahi sawaalon ka hissa fraction, decimal aur percentage mein likho. Galat ya chhoote sawaal kitne percent hain?
Solution dekho
Fraction = 39/50 = 78/100 = 0.78 = 78%.
Baaki = 100% − 78% = 22%. Check: 11 sawaal → 11/50 = 22/100 = 22% ✅
Answer Key — charumam.com exclusive
🧠 HOTS (Sochne Wale Sawaal)
Q1. Bina lamba divide kiye 7/25 aur 13/40 ke decimal nikaalo.
Solution dekho
7/25: 25 × 4 = 100 → 28/100 = 0.28.
13/40: 40 × 25 = 1000 → 325/1000 = 0.325 (= 32.5%).
WHY: Denominator ko 100 ya 1000 banane wala number dhoondho, phir upar bhi wahi guna karo. Fraction ki value nahi badalti.
Q2. Meena kehti hai, “1/3 = 0.33 = 33%, bilkul exact.” Kya woh sahi hai?
Solution dekho
Nahi. 0.33 = 33/100. Agar yeh 1/3 hota, to 3 × 0.33 = 1 aana chahiye, par 3 × 0.33 = 0.99.
WHY: 1/3 = 0.333… kabhi khatam nahi hota. 33% sirf andaaza hai, exact jawab 33 1/3 % hai.
Q3. 12 mein 3 ka factor hai. Kya 3/12 ka decimal kabhi khatam nahi hoga?
Solution dekho
Khatam hoga! Pehle simplify karo: 3/12 = 1/4 = 0.25 = 25%.
WHY: Niyam simplest form ke denominator pe lagta hai. 1/4 mein denominator 4 = 2 × 2, sirf 2 ka factor. Isliye decimal khatam.
Q4. Ek fraction ka numerator 6 hai aur woh 40% ke barabar hai. Denominator kya hai?
Solution dekho
40% = 40/100 = 2/5. Hume 6/? = 2/5 chahiye. Numerator 2 se 6 hua (× 3), to denominator bhi 5 × 3 = 15.
Check: 6/15 = 2/5 = 0.4 = 40% ✅
sirf charumam.com pe milenge!
🏆 Olympiad Corner
Q1. 1/6 ko percentage mein exact likho.
Solution dekho
1/6 × 100 = 100/6 = 50/3 = 16 2/3. Yaani 16 2/3 % (lagbhag 16.67%).
Check: 6 × 16 2/3 = 96 + 4 = 100 ✅
Q2. Kya 7/16, 0.4375 aur 43.75% teeno barabar hain?
Solution dekho
16 × 625 = 10000 → 7/16 = 4375/10000 = 0.4375. Aur 0.4375 × 100 = 43.75%.
Haan, teeno barabar ✅. 16 = 2 × 2 × 2 × 2, isliye decimal khatam hua (4 digits ke baad).
Q3. x/40 = 0.35 hai. x kya hai, aur yeh fraction kitne percent hai?
Solution dekho
x = 0.35 × 40 = 14. Percentage = 0.35 × 100 = 35%.
Check: 14/40 = 7/20 = 35/100 ✅
Q4. 1/4 + 0.2 + 15% ko ek percentage, ek decimal aur ek simplest fraction mein likho.
Solution dekho
Sabko ek roop (%) mein lao: 1/4 = 25%, 0.2 = 20%, 15% = 15%.
Total = 25% + 20% + 15% = 60% = 0.6 = 3/5.
Trick: Alag-alag bhesh wali cheezein jodne se pehle sabko ek hi bhesh mein lao.
sirf charumam.com readers ke liye 🔐
💗 CharuMam Motivation
3/4, 0.75 aur 75%: teeno ka roop alag hai, par value ek. Roop badalne se value nahi badalti.
Aap bhi aise hi ho! School mein aap student ho, ghar pe beta ya beti, maidan pe khiladi. Jagah aur roop badalte rehte hain, par aapki asli value, yaani aapki mehnat, imaandaari aur focus, har jagah wahi rehni chahiye. Aur yaad rakho 1/3 ko: uska decimal 0.333… kabhi khatam nahi hota, phir bhi woh har pal sahi raasta pakde rehta hai. Kabhi kabhi mehnat ka phal turant “khatam” hota nahi dikhta, par sabr se lage raho, aapki value pakki hai! 🌱
— 📌 charumam.com
🟢 Master Recap
- Fraction, decimal, percentage = ek hi value ke teen bhesh. Poori cheez = 1 = 100%.
- % → Decimal: ÷ 100, decimal do ghar left. (7% = 0.07)
- Decimal → %: × 100, decimal do ghar right. (0.375 = 37.5%)
- Fraction → Decimal: denominator ko 10/100/1000 banao, ya upar ÷ neeche. (3/8 = 0.375)
- Decimal → Fraction: place value se 10/100/1000 ke upar likho, simplify. (0.35 = 7/20)
- Simplest denominator mein sirf 2 aur 5 → decimal khatam. Warna chalta rehta hai (1/3 = 0.333… = 33 1/3 %).
- Har baar check karo: ulta badal ke wahi value aani chahiye.
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