Adding Fractions with Different Denominators

Create the complete core lesson for Section 7.8-B. Use Arin only. Preserve the full method and all examples. 1. INTRODUCE: 2/3 + 1/5. Identify thirds and fifths as different fractional units. 2. FIND A COMMON DENOMINATOR: display multiples of 3 and 5, then select 15 as a common denominator. 3. CONVERT TO EQUIVALENT FRACTIONS: show 2/3 = 10/15 and 1/5 = 3/15. Use visual partitions to explain why the values remain unchanged. 4. ADD: show 10/15 + 3/15 = 13/15. Emphasise that only numerators are added once the denominators match. 5. SIMPLIFYING EXAMPLE: 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2. 6. Present the five-step method clearly: (a) Find a common denominator. (b) Make equivalent fractions. (c) Add the numerators. (d) Keep the denominator. (e) Simplify if needed. 7. QUICK PRACTICE with pauses: 1/4 + 1/2 = 3/4; 2/5 + 1/10 = 1/2. Show the equivalent-fraction step before each answer. 8. END CHALLENGE: display 3/4 + 2/3 = ?. Give learners thinking time and do not solve or reveal the answer; this is intended for follow-up practice. Core equation: 2/3 + 1/5 = 10/15 + 3/15 = 13/15 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2 Keep the focus on addition with different denominators. Use accurate equal-part fraction visuals, readable equations and a consistent step map. Do not solve the final challenge.