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Which rational number is equivalent to 3.90 with the .90 repeating? A. 3/90 B. 39/10 C. 35/9 D. 43/11 EXPLAIN PLZAsked by Kimbo
Which rational number is equivalent to 3.90 with the .90 repeating?
A. 3/90
B. 39/10
C. 35/9
D. 43/11
EXPLAIN PLZ
A. 3/90
B. 39/10
C. 35/9
D. 43/11
EXPLAIN PLZ
Answers
Answered by
Reiny
let x = 3.909090...
multiply by 100 , (because I have 2 digits repeating, thus 2 zeros in 100, had there been 3 digits repeating, I would have mulitplied by 1000)
100x = 390.909090...
subtract the original:
99x = 390.9090... - 3.909090..
99x = 387
x = 387/99 = 43/11
multiply by 100 , (because I have 2 digits repeating, thus 2 zeros in 100, had there been 3 digits repeating, I would have mulitplied by 1000)
100x = 390.909090...
subtract the original:
99x = 390.9090... - 3.909090..
99x = 387
x = 387/99 = 43/11
Answered by
Kimbo
thanks Reiny :))
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