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olganol [36]
1 year ago
9

Express 5.555... in the form of a geometric series.

Mathematics
1 answer:
Evgesh-ka [11]1 year ago
4 0

5.555 = 5.1 + 0.05 + 0.005

<span>          = 5.5 + 0.05 + 0.05(.1)</span>

<span>            = 5.5 + 0.05/(1-.1)</span>

<span>            =5.5+0.05/.9</span>

<span>            =5.5 + 5/90</span>

<span>            = 5.5+1/18</span>

<span>            =55/10 + 1/18</span>

<span>            = 495/90 + 5/90</span>

<span>            =500/90</span>

<span>            = 50/9</span>

<span>            = 5 5/9</span>


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