Question

8 .simplificati fractiile [obt fractii ireductibile ] 30 pe 60 22 pe 55 96 pe 144 166 pe 664 2323 pe 4646 233233 pe 466466

9. transformati i nfractii ordinare 1,5 ; 3,(6) ; 1,2(6) 0.32(47)

Answer 1

8).

30 / 60 = ( 30 : 30 ) / ( 60 : 30 ) = 1 / 2 → fractie ireductibila

22 / 55 = ( 22 : 11 ) / ( 55 : 11 ) = 2 / 5

96 / 144 = ( 96 : 6 ) / ( 144 : 6 ) = 16 / 24 = ( 16 : 4 ) / ( 24 : 4 ) = 4 / 6 = 2 / 3

96 / 144 = ( 96 : 48 ) / ( 144 : 48 ) = 2 / 3

166 / 664 = ( 166 : 166 ) / ( 644 : 166 ) = 1 / 4

2323/ 4646 = ( 2323 : 2323) / ( 4646 : 2323 ) = 1 / 2

233233 / 466466 = ( 233233 : 233233 ) / ( 466466 : 233233) = 1 / 2

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9).

1,5 = 15 / 10 = 3/2

3,(6) = ( 36 - 3 ) / 9 = 33 / 9 = 11 / 3

1,2(6) = ( 126 - 12 ) / 90 = 114 / 90 = 38 / 30 = 19 / 15

0,32(47) = ( 3247 - 32 ) / 9900 = 3215 / 9900 = 643 / 1980