Like and Unlike Fractions

• To identify like fractions (same denominator) and unlike fractions (different denominators).
• To find equivalent fractions and the Lowest Common Denominator (LCD) before adding.
• To simplify fractions to lowest terms using common factors.
• To connect fraction ideas with NCERT Math-Magic 5, Chapter 4 (Parts and Wholes) and Chapter 6 (Be My Multiple, I'll Be Your Factor).

Level 1 — Like vs unlike

Verbal: Like fractions share the same denominator — they split the same-sized whole into equal parts.

Symbolic: 2/7, 3/7, 5/7 are like; 1/3 and 1/4 are unlike.

NCERT link: Math-Magic 5, Ch 4 — sharing rotis, chocolate bars, and land into equal parts.

Level 2 — Equivalence and LCD

Verbal: Multiply or divide numerator and denominator by the same non-zero number to get an equivalent fraction.

Symbolic: 1/2 = 2/4 = 3/6; LCD of 3 and 4 = 12.

Real-life: Half a pizza (1/2) = two quarters (2/4) — same amount, different slice count.

Are 3/4 and 6/8 equivalent? Simplify 6/8.

Step 1 — Divide 6/8 by 2: 3/4.
Step 2 — Same value as 3/4 → equivalent ✓
Answer: Yes, equivalent; 6/8 = 3/4

Find LCD of 1/3 and 1/4, then write equivalent like fractions.

Step 1 — Multiples of 3: 3, 6, 9, 12…; of 4: 4, 8, 12…
Step 2 — LCD = 12
Step 3 — 1/3 = 4/12; 1/4 = 3/12
Answer: 4/12 and 3/12

• Classify as like or unlike: 2/7, 5/7; 1/2, 1/5.
• Write two equivalent fractions for 2/3.
• LCD of 2/5 and 3/10? (10)
• Stretch: 3/4 of ₹80 = ? (₹60)

Revision tip: Cut a paper strip into 8 parts — shade 4/8, then fold to see 1/2. Physical models beat memorising rules.

Open the Practice tab for graded questions on Like and Unlike Fractions.

• Use the platform-native live simulation or PhET-style tool for this topic (number line, Venn, physics playground, molecule builder, sensor dashboard, etc.).
• Mirror / body / home activity: physically do the concept (count objects, measure, role-play) and photograph or describe for portfolio.
• Voice or text reflection with AI Mentor: explain the concept to a younger student or family member.

• "Explain this concept to a Class 6 student using one real example from an Indian home, school, market, or festival."
• "What is one common mistake students make here, and how would you catch yourself making it?"
• Stretch: "How does this connect to coding, robotics, money, health, environment, or a future career?"

• Complete the core practice + one extension activity (photo, table, short reflection, or mini-project) for base XP + topic badge.
• 5-7 day streak or family discussion note = multiplier + visible artifact in parent/principal dashboard.
• Best real-world application stories (anonymised) featured on class or national leaderboard.

• One hands-on project or measurement using the Drishti kit or household items that makes the concept physical.
• Direct link to at least one Future Skill track (Money Management, Green Tech, Cyber Defenders, Micro-Entrepreneurship, AI Mastery, Sustainable Living, Personality Development).
• Coding extension where relevant (simple script, simulation, or data logging).

This material emphasises experiential "learning by doing", competency (apply/create/analyse), vocational exposure, critical thinking, and multidisciplinary connections. Designed to feed live worlds, AI Mentor (with memory), gamification, robotics, parent analytics, and future skills — not just exam prep.

Portfolio Evidence Idea: Your photo/table/reflection/project + one sentence on "How this helps me in real life or a possible future path."

Open the Practice tab for aligned questions (easy/medium/hard + case-based) with full AI scaffolding.

See curriculum for cross-links and the full future-skills/robotics chapters.