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Lecția 6: Descompunerea fracțiilor

Recapitulare descompunerea fracțiilor

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Recapitulăm bazele descompunerii fracțiilor și încercăm niște probleme de antrenament.

Descompunerea fracțiilor

Pentru a descompune un număr, îl desfacem în bucăți mai mici.

[Arată-mi un exemplu]

Fracțiile, ca toate numerele, pot fi descompuse în mai multe moduri.

[Arată-mi un exemplu]

Exemplul 1: Diagramă bandă

Hai să descompunem start fraction, 5, divided by, 9, end fraction.

Un mod în care putem descompune pe start fraction, 5, divided by, 9, end fraction este 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:

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

Un alt mod în care putem descompune pe start fraction, 5, divided by, 9, end fraction este 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:

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

Exemplul 2: Axa numerelor

Cum putem descompune pe start fraction, 6, divided by, 4, end fraction?

Un mod de a descompune pe start fraction, 6, divided by, 4, end fraction este 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:

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

Alt mod de a descompune pe start fraction, 6, divided by, 4, end fraction este 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:

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

Vrei să înveți mai multe despre descompunerea fracțiilor? Vezi acest video.

Antrenament

Problema 1

Actual

Care dintre aceste sume este egală cu start fraction, 14, divided by, 10, end fraction ?

(Varianta A)
start fraction, 5, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction, plus, start fraction, 4, divided by, 10, end fraction
(Varianta B)
start fraction, 1, divided by, 10, end fraction, plus, start fraction, 1, divided by, 10, end fraction, plus, start fraction, 2, divided by, 10, end fraction, plus, start fraction, 10, divided by, 10, end fraction
(Varianta C)
start fraction, 3, divided by, 10, end fraction, plus, start fraction, 8, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction

Vrei să încerci mai multe probleme ca asta? Vezi acest exercițiu.

Ordonare după:

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