【中学入試】小数×分数の整理術【東大寺中学入試算数 2026】

#TodaijiJuniorHighSchool #2026AcademicYear #CalculationProblems #FractionalCalculations #JuniorHighSchoolEntranceExam ■ Problem Todaiji Junior High School 2026 Academic Year (3.5 − 7/9) ÷ 0.042 × (9/8 − 0.702 × 5/6) ■ Strategy Convert all decimals to fractions. ■ Conversion 3.5 = 7/2 0.042 = 42/1000 = 21/500 0.702 = 702/1000 = 351/500 ■ First Half 7/2 − 7/9 Find a common denominator (18) = 63/18 − 14/18 = 49/18 Therefore (49/18) ÷ (21/500) = 49/18 × 500/21 Simplification 49 ÷ 7 = 7 21 ÷ 7 = 3 = 7 × 500 / (18 × 3) = 3500 / 54 = 1750 / 27 ■ Second Half 0.702 × 5/6 = (351/500) × 5/6 Simplify by 5 = 351 / 600 = 117 / 200 Next 9/8 − 117/200 Find a common denominator (200) 9/8 = 225/200 Therefore 225/200 − 117/200 = 108/200 = 27/50 ■ Total (1750/27) × (27/50) Simplify by 27 = ​​1750 / 50 = 35 ■ Conclusion 35 ■ Key Points ・Always convert decimals to fractions ・Simplifying along the way makes it easier ・The structure cancels out neatly at the end This is a refreshing calculation problem typical of Todaiji Temple, emphasizing organizational skills. 🔗 Related Videos & Recommended Links [Junior High School Entrance Exam: Math Calculation Problem Explanation Series] ▶    • 灘中入試問題 2005年度1日目｜素因数分解で分数の計算問題   [Junior High School Entrance Exam: Practice Problems on the Properties of Integers] ▶    • 【魔方陣の攻略法】真ん中の数の見つけ方！公務員試験＆中学受験の数的処理対策｜算数過去...   [Kaisei Junior High School Entrance Exam Problems & Past Paper Explanation Series] ▶    • 【開成中学の算数】単位分数の和と整数問題を徹底解説！2010年度過去問に挑戦｜中学受験算数   [Nada Junior High School Entrance Exam Problems & Past Paper Explanation Series] ▶    • 灘中入試問題 2005年度1日目｜素因数分解で分数の計算問題   📢 A Request to Viewers If you found this video helpful, please let us know by liking or commenting! We also welcome requests for explanations of other problems! 📌 About This Channel This channel provides methods for steadily improving the skills necessary for entrance exams while learning arithmetic and mathematics in a fun way. We fully support everyone who wants to "train their thinking skills" and "overcome their weaknesses"! 📩 Business Inquiries/Contact For interview and business inquiries, please contact us here: 📧 [email protected] #JuniorHighSchoolEntranceExam #EntranceExamArithmetic #Mathematics