Question

calcule a fração geratriz 2,333... 12,5222... 1,323232... 15,1215215215... 7,3777...​

Answer 1

Explicação passo-a-passo:

2,333...

x = 2,33...

10x = 23,33...

10x - x = 23,33... - 2,33...

9x = 21

x = 21/9

x = 7/3

12,5222...

x = 12,522...

10x = 125,22...

100x = 1252,22...

100x - 10x = 1252,22... - 125,22...

90x = 1127

x = 1127/90

1,323232...

x = 1,3232...

100x = 132,3232...

100x - x = 132,3232... - 1,3232...

99x = 131

x = 131/99

15,1215215215...

x = 15,1215215...

10x = 151,215215...

10000x = 151215,215215...

10000x - 10x = 151215,215215... - 151,215215...

9990x = 151064

x = 151064/9990

x = 75532/4995

7,3777...

x = 7,377...

10x = 73,77...

100x = 737,77...

100x - 10x = 737,77... - 73,77...

90x = 664

x = 664/90

x = 332/45