Question

convert 0.2333333••••• as rational number

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Answer 1

Answer:

Let x=0.2333...

10x = 2.333..._____1

100x = 23.333..._____2

Subtracting equation 1 from 2,

100x-10x = 23.3333.....-2.33333 = 21

90x = 21

thus, x = 21/90

Therefore, we have successfully converted 2.333... to a rational number, i.e, 21/90.

HOPE MY ANSWER HELPED!!