Rozszerzanie i skracanie ułamków zwykłych - Matematyka Szkoła Podstawowa i Gimnazjum

In this video, I explain how to expand and reduce fractions. I teach how to multiply and divide the numerator and denominator by the same number, explain the rules for expanding fractions to a given denominator or numerator, and demonstrate examples of expansion through calculations and visual illustrations. I show step by step how to reduce fractions using successive divisors, discuss cases where a fraction is already in its simplest form, and explain that the value of a fraction does not change after expansion or reduction, even though its notation does. Contents: 1. What expanding fractions means 2. Expanding fractions by multiplying the numerator and denominator 3. Equality of fractions before and after expansion 4. Visual illustration of fraction expansion 5. Expanding fractions to a given denominator 6. Expanding fractions to a given numerator 7. What reducing fractions means 8. Reducing fractions by dividing the numerator and denominator 9. Finding a common divisor 10. Irreducible (simplest) fractions 11. Reducing in several steps or one larger step 12. Visual illustration of fraction reduction 13. Examples of irreducible fractions Continuation of this video: [   • Dokończenie filmu p.t. Rozszerzanie i skra...  ](   • Dokończenie filmu p.t. Rozszerzanie i skra...  ) More content available in this playlist: [   • UŁAMKI ZWYKŁE  ](   • UŁAMKI ZWYKŁE  ) Easy access to all my math lessons: [www.matmagwiazdy.pl](http://www.matmagwiazdy.pl) On this channel, you’ll find a complete course — 100% of the lessons — covering Mathematics for Primary School, High School, and Technical School. Good luck Tomasz D. Gwiazda Chapters: [00:00] What expanding fractions means [00:38] Expanding fractions by multiplying the numerator and denominator [01:32] Equality of fractions before and after expansion