Converting decimals to fractions example 3 | Decimals | Pre-Algebra | Khan Academy

Converting this decimal results in a fraction that needs to be simplified. Can you help us?

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Vi skal omskrive 0,36 til en brøk.

Der er flere måder at gøre det på.

Den måde vi vil gøre det på her er at sige, at 0,36 er det samme som 36 hundrededele fordi,

6 står på hundrededelenes plads, så vi har 6 hundrededele.

3 står på tiendedelenes plads, og 3/10 er det samme som 30 hundrededele.

6 hundrededele plus 30 hundrededele giver 36 hundrededele.

Nu har vi skrevet 0,36 som en brøk, men vi kan forkorte brøken, da 36 og 100 har fælles faktorer, altså tal som går op i dem begge.

De kan begge divideres med 4, og hvis vi dividerer både 36 og 100 med 4 - altså gør det samme i både tæller og nævner - så ændrer vi ikke på brøkens værdi.

36 divideret med 4 er 9 og 100 divideret med 4 er 25.

9 og 25 har ingen fælles faktorer, så det kan ikke forkortes mere.

Svaret er derfor 9/25.