6/40 kesri, en sade haliyle 3/20 olarak ifade edilir 23.
Kesirleri sadeleştirmek için pay ve paydayı kalansız olarak bölebilecekleri en küçük tam sayılara indirmek gerekir 2. Bu, sonraki hesaplamaları daha kolay hale getirir 2.
Denk kesir, değeri aynı olan, yani aynı oranı veya miktarı gösteren kesirlere denir. Denk kesirler, bir kesrin sadeleştirilmiş ya da genişletilmiş hali olabilir. Bazı denk kesir örnekleri: 1/2 = 2/4; 3/6 = 1/2; 2/3 = 4/6.
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