If you're seeing this message, it means we're having trouble loading external resources on our website.

Ha webszűrőt használsz, győződj meg róla, hogy a *.kastatic.org és a *.kasandbox.org nincsenek blokkolva.

Fő tartalom

Összefoglalás: törtek felbontása

Ismételd át a törtek felbontásának alapjait, és oldj meg néhány gyakorló feladatot!

Törtek felbontása

Egy szám felbontása azt jelenti, hogy kisebb számok összegeként írjuk fel.
A számokhoz hasonlóan a törtek is többféleképpen felbonthatók.

1. példa: szalagdiagram

Bontsuk fel az start fraction, 5, divided by, 9, end fraction-et!
A tape diagram divided into 9 equal parts. Five parts are shaded.
Az start fraction, 5, divided by, 9, end fraction egy lehetséges felbontása start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54:
A tape diagram divided into 9 equal parts with 5 parts shaded. The first two parts are shaded orange. The next three parts are shaded green.
start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54, equals, start fraction, start color #e07d10, 2, end color #e07d10, plus, start color #1fab54, 3, end color #1fab54, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction
Egy másik mód az start fraction, 5, divided by, 9, end fraction felbontására az start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995:
A tape diagram divided into 9 equal parts with 5 parts shaded. The first part is shaded purple. The next two parts are shaded pink. The next two parts are shaded green.
start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995, equals, start fraction, start color #7854ab, 1, end color #7854ab, plus, start color #e84d39, 2, end color #e84d39, plus, start color #01a995, 2, end color #01a995, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

2. példa: számegyenes

Hogyan bonthatjuk fel a start fraction, 6, divided by, 4, end fraction-et?
A number line labeled 0 to 2 with tick marks every one-fourth unit. Tick marks 0, 1, and 2 are labeled. A point labeled six-fourths appears two tick marks to the right of 1.
A start fraction, 6, divided by, 4, end fraction egy lehetséges felbontása start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab:
A number line labeled 0 to 2 with tick marks every one-fourth unit. Tick marks 0, 1, and 2 are labeled. A point labeled six-fourths appears two tick marks to the right of 1. An arrow begins at 0 and moves right one tick mark six times, ending two tick marks to the right of 1. The arrow is labeled one-fourth plus one-fourth plus one-fourth plus one-fourth plus one-fourth plus one-fourth.
start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, equals, start fraction, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction
Így is felbonthatjuk a start fraction, 6, divided by, 4, end fraction-et: start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd
A number line labeled 0 to 2 with tick marks every one-fourth unit. Tick marks 0, 1, and 2 are labeled. A point labeled six-fourths appears two tick marks to the right of 1. An arrow begins at 0 and moves right three tick marks and then moves right three tick marks, ending two tick marks to the right of 1. The arrow is labeled three-fourths plus three-fourths.
start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, equals, start fraction, start color #11accd, 3, end color #11accd, plus, start color #11accd, 3, end color #11accd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction
Szeretnél többet tudni a törtek felbontásáról? Nézd meg ezt a videót!

Gyakorlás

1 . feladat
  • Aktuális
Az alábbi összeadások közül melyek egyenlőek start fraction, 14, divided by, 10, end fraction-del?
Válaszd ki az ÖSSZES lehetséges megoldást:

Szeretnél még több ilyen feladatot megoldani? Nézd meg ezt a feladatot!

Szeretnél részt venni a beszélgetésben?

Még nincs hozzászólás.
Tudsz angolul? Kattints ide, ha meg szeretnéd nézni, milyen beszélgetések folynak a Khan Academy angol nyelvű oldalán.