Tentukan bentuk pecahan senilai dari pecahan berikut. a.

Contoh pecahan senilai: a. 2/6, 3/9, 4/12, 5/15; c. 2/14, 3/21, 4/28, 5/35; b. 4/10, 6/15, 8/20, 10/25.

Pembahasan

Untuk menentukan pecahan senilai, kita dapat mengalikan atau membagi pembilang dan penyebut dengan bilangan yang sama (selain nol).

a. Pecahan (1)/(3):
   (1)/(3) = (1*2)/(3*2) = (2)/(6)
   (1)/(3) = (1*3)/(3*3) = (3)/(9)
   (1)/(3) = (1*4)/(3*4) = (4)/(12)
   (1)/(3) = (1*5)/(3*5) = (5)/(15)

c. Pecahan (1)/(7):
   (1)/(7) = (1*2)/(7*2) = (2)/(14)
   (1)/(7) = (1*3)/(7*3) = (3)/(21)
   (1)/(7) = (1*4)/(7*4) = (4)/(28)
   (1)/(7) = (1*5)/(7*5) = (5)/(35)

b. Pecahan (2)/(5):
   (2)/(5) = (2*2)/(5*2) = (4)/(10)
   (2)/(5) = (2*3)/(5*3) = (6)/(15)
   (2)/(5) = (2*4)/(5*4) = (8)/(20)
   (2)/(5) = (2*5)/(5*5) = (10)/(25)