Mixed Numbers

• To read, write, and convert between improper fractions and mixed numbers.
• To add and subtract mixed numbers with and without regrouping.
• To apply mixed numbers in measurement (2½ metres of cloth) and time (1¾ hours).
• To master NCERT Math-Magic 5, Chapter 4 problems involving wholes and parts together.

Level 1 — Conversion

Verbal: A mixed number has a whole part and a proper fraction: 2¾ means 2 + 3/4.

Symbolic: Improper → mixed: 11/4 = 2 remainder 3 → 2¾; Mixed → improper: 2¾ = (2×4 + 3)/4 = 11/4.

Level 2 — Add and subtract mixed numbers

Verbal: Add wholes to wholes and fractions to fractions; regroup if fraction sum ≥ 1.

Symbolic: 2⅓ + 1⅔ = (2+1) + (⅓+⅔) = 3 + 1 = 4

Real-life: Tailor uses 1¾ m + 2½ m of ribbon → convert to improper or add parts separately.

Convert 23/5 to a mixed number.

Step 1 — 23 ÷ 5 = 4 remainder 3
Step 2 — 23/5 = 4⅗
Answer: 4⅗

Evaluate 3⅔ − 1¾

Step 1 — Convert: 3⅔ = 11/3; 1¾ = 7/4
Step 2 — LCD = 12: 44/12 − 21/12 = 23/12
Step 3 — 23/12 = 1 11/12
Answer: 1 11/12

• Write 17/4 as a mixed number.
• Evaluate: 2⅕ + 1⅖.
• 5 − 2⅓ = ? (hint: regroup 5 as 4 + 3/3 + …)
• Stretch: A recipe needs 2¾ cups flour; you used 1⅛ cups. How much more? (1⅝ cups)

Revision tip: Draw wholes as complete rectangles and fractions as shaded parts — seeing 1⅓ as one whole plus one-third prevents conversion errors.

Open the Practice tab for graded questions on Mixed Numbers.

• 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.