Class 7 Maths Fractions Solutions

Is page par hum Class 7 NCERT Maths ke Fractions chapter ke solutions discuss karne wale hain. Solutions Hinglish mein diye gaye hain, taaki aapko samajhne mein koi dikkat na ho.

Overview of Fractions

Fractions aren’t just some boring textbook thing—they’re genuinely everywhere once you start looking. Splitting a pizza, measuring ingredients, figuring out discounts; it all comes back to fractions. This section walks you through it, step by step, from the absolute basics to the trickier stuff that’ll pop up later in math. So don’t worry if it feels shaky at first. We’ll build it up nice and steady.

Kyu Important Hai?

• Honestly, fractions show up way more often than you'd think. You're halving a recipe, splitting a bill with friends, or even just figuring out how much time is left before your next meeting—it's all fractions. Without them, you'd be eyeballing everything and hoping for the best, which, let's be real, rarely ends well.
• Kyu? Because maths mein agar aapki base kamzor hai, toh aage jaakar har cheez gira hua feel hoti hai. Strong foundation matlab sirf formulas yaad karna nahi—woh samajhna hai ke cheezein kaise kaam karti hain. Aur wohi cheez aapko aage badhne mein madad karti hai, chahe woh school ka exam ho ya koi bada competition. Isliye, shuru se hi thoda time lagao, kyunki yeh woh neev hai jispar poori building khadi hoti hai.
• NCERT syllabus ke hisaab se, bilkul precise solutions. Koi tukka nahi, koi extra gyaan nahi—jo padhaya ja raha hai, wahi solve kiya gaya hai.

Links for Chapter-wise Download NCERT Solution for Class 7 गणित in hindi Language

Here we have provided NCERT Solution for Class 7 गणित in hindi Language, Just select the chapters below to get solution of the same:

भिन्न एवं दशमलव

आंकड़ों का प्रबंधन

सरल समीकरण

रेखा एवं कोण

त्रिभुज और उसके गुण

त्रिभुजों की सर्वांगसमता

राशियों की तुलना

परिमेय संख्याएँ

प्रायोगिक ज्यामिती

परिमाप और क्षेत्रफल

बीजीय व्यंजक

घातांक और घात

सममिति

ठोस आकारों का चित्रण

Introduction to Fractions

Fractions—yaani bhinn—kisi bhi number ko chhote hisson mein todne ka tareeka hain. Socho, ek poori cheez ko agar tukdon mein baant lo, toh har tukda ek fraction hai. Isme do cheezein hoti hain: numerator jo upar hota hai, aur denominator jo neeche. Jaise 1/2 mein, 1 upar wala hissa hai aur 2 neeche wala. Bas itna hi.

Types of Fractions

Fractions kay kayi prakar hote hain, aur in sab ko samajhna apne aap mein ek chhoti si challenge hai. Lekin agar aap inhe theek se pehchan lein, toh aadha rasta clear ho jata hai.

• Proper Fractions: Jab numerator denominator se chhota hota hai — bilkul simple si baat. Socho, 3/5 mein 3 upar hai aur 5 neeche, toh 3 obviously 5 se kam hai. Bas yahi hai proper fraction. Koi jhanjhat nahi, seedha sa rule.
• Improper fractions are pretty straightforward once you get the hang of them. Basically, the numerator is bigger than the denominator, or sometimes they're exactly the same. Think 7/4. That's the classic example.
• Mixed Fractions: Ye basically ek whole number aur ek proper fraction ka joda hota hai — jaise 2 1/3. Matlab, do poore aur ek teesra hissa. Simple hai, bas itna hi.

Operations on Fractions

Fractions par kaam karna itna mushkil nahi hai, bas operations ka sahi tareeqa samajhna hota hai. Chaliye, inhe step-by-step dekhte hain—thoda sa dhyan denge toh sab clear ho jayega.

Addition of Fractions

Fractions ko jodne ka kaam shuru hota hai denominator ko ek jaisa karne se. Agar denominators pehle se same hain, toh seedha numerators ko add kar do—koi jhanjhat nahi. Jaise, 1/4 + 2/4 = 3/4, bas itna sa. Lekin jab denominators alag ho jayen, tab thoda khel badal jata hai. Toh phir LCM nikalna padta hai, aur uske baad dono fractions ko equivalent bana ke add karte hain. Yehi hai poora funda.

Subtraction of Fractions

Subtraction ka kaam bhi addition jaisa hi hai, bas ek chhota sa farak hai. Tumhe denominators ko pehle same karna hota hai—wahi wala step—aur phir seedha numerators ko ek dusre se minus kar do. Jaise, 5/6 - 2/6 le lo. Denominators pehle se same hain, toh bas 5 mein se 2 ghatao, jo 3 deta hai. Toh jawab aaya 3/6. Aur haan, isko aur chhota kar sakte ho—3/6 ko half bana do, matlab 1/2. Aasaan hai, bas thoda dhyan rakho pehle base ko match karna, phir kaam khatam.

Multiplication of Fractions

Multiplying fractions? Honestly, it’s about as straightforward as math gets. You just take the top numbers, multiply them together, then do the same for the bottom ones. That’s it — so for 2/3 times 3/5, you’d get 6/15. But wait—don’t stop there. Simplify it down, and you’re left with 2/5. Clean and simple, right? Just remember the pattern: top times top, bottom times bottom, and always check if you can trim it smaller.

Division of Fractions

Division mein, seedha seedha kaam nahi chalta. Rule yeh hai—second fraction ko ulta karo, yaani uska reciprocal lo, aur phir multiply kar do. For instance, agar tumhare paas 2/3 ÷ 4/5 hai, toh 4/5 ko palat ke 5/4 banao, phir 2/3 * 5/4 karo. Answer aayega 10/12, jise simplify karke 5/6 milta hai. Bas itna hi.

NCERT Examples and Solutions

Chalo ab NCERT textbook se kuch examples uthate hain, aur phir unhe solve karte hain. Seedha seedha—koi jhanjhat nahi, bas book kholo aur dekhte hain ki sawal kaise hain. Pehle ek simple sa example lete hain, usko step by step todte hain. Phir dekhenge ki formula kahan fit hota hai, aur kaise answer tak pahunchte hain. Aur haan, agar beech mein koi doubt aaye, toh rukke dobara check karna—wahi toh asli seekhna hai. Toh kya, shuru karte hain?

Example 1: Adding Mixed Fractions

Question: 2 1/3 + 3 2/5 ko solve karo. Pehle mixed fractions ko improper fractions mein badlo — 7/3 aur 17/5. Ab dono denominators ka LCM lo — jo 15 aata hai. Equivalent fractions banao: 35/15 aur 51/15. Inhe jod do, milta hai 86/15. Ab isse wapas mixed fraction mein convert karo — toh jawab aata hai 5 11/15.

Example 2: Word Problem

Rahul ne cake ka 1/4 hissa kha liya, aur Sita ne 1/3. Ab sawaal ye hai ki kitna bacha? Chalo, pehle jodte hain dono ka hissa. 1/4 aur 1/3 ko jodne ke liye, humein common denominator chahiye — 4 aur 3 ka LCM 12 aata hai. Toh 1/4 ko 3/12 bana diya, aur 1/3 ko 4/12. Ab jodo: 3/12 + 4/12 = 7/12. Matlab total 7/12 cake dono ne milakar kha liya. Bache hue cake ka hissa nikaalne ke liye, poori cake ko 1 maano — toh 1 - 7/12 = 5/12. Toh answer hai 5/12 cake bacha — simple, hai na?

Practice Tips

Fractions ko solid karne ka koi shortcut nahi hai—bas roz thoda practice karo. NCERT ke exercises ko haath lagao, unhe solve karo, aur phir try karo ki real life mein kahin use ho sake, jaise shopping ka bill ya recipe ka hisaab. Hinglish mein samjhaya gaya ho toh cheezein aise click karti hain jaise dheere-dheere sab kuch clear ho raha ho, aur aap bina jhanjhat concepts pakad loge. Bas roj thoda, consistently, aur dekhna kaise fractions aapke dost ban jayenge.