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Leerjaar 4

Course: Leerjaar 4 > Eenheid 3

Les 5: Breuken opsplitsen

Breuken opsplitsen: herhaling

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Herhaal de basis van het splitsen van breuken en probeer een aantal oefeningen.

Breuken opsplitsen

Als we een getal opsplitsen, dan splitsen we het getallen in kleinere getallen op.

[Geef een voorbeeld]

Net als alle getallen kunnen we breuken ook op verschillende manieren opsplitsen.

[Geef een voorbeeld]

Voorbeeld 1: strookdiagram

Laten we start fraction, 5, divided by, 9, end fraction opsplitsen.

Eén manier om start fraction, 5, divided by, 9, end fraction op te splitsen is 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

Een andere manier om start fraction, 5, divided by, 9, end fraction op te splitsen is 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

Voorbeeld 2: getallenlijn

Hoe kunnen we start fraction, 6, divided by, 4, end fraction opsplitsen?

Eén manier om start fraction, 6, divided by, 4, end fraction op te splitsen is 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

Een andere manier om start fraction, 6, divided by, 4, end fraction op te splitsen is 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

Wil je meer weten over het opsplitsen van breuken? Bekijk dan deze video.

Oefening

Opgave 1

Huidige

Welke van deze sommen is gelijk aan start fraction, 14, divided by, 10, end fraction ?

(Keuze 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
(Keuze 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
(Keuze 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

Wil je meer van dit soort opgaven doen? Bekijk dan deze opgave.

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