Write 5.63 repeating as a mixed number in simplest form.

Marcoseu asked Sep 14, 2022

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Marcoseu asked Sep 14, 2022

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27 votes

If x = 5.636363…, then 100x = 563.636363…. So we have

100x - x = 563.636363… - 5.636363…

99x = 558

x = 558/99 = 62/11

and then

62/11 = (5×11 + 7)/11 = 5 + 7/11

LOTUSMS answered Sep 18, 2022

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