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15 votes
Mixed number 66 2/3 % equals what percent in the simplest form

1 Answer

5 votes

Answer:


66(2)/(3)\% = (2)/(3)

Explanation:

Given:


66(2)/(3)\%

Required

Express in its simplest form


66(2)/(3)\%

Convert to improper fraction


66(2)/(3)\% = (66*3+2)/(3)\%


66(2)/(3)\% = (198+2)/(3)\%


66(2)/(3)\% = (200)/(3)\%

% means
(1)/(100)

So, we have:


66(2)/(3)\% = (200)/(3) * (1)/(100)


66(2)/(3)\% = (200*1)/(3*100)


66(2)/(3)\% = (2*1)/(3*1)


66(2)/(3)\% = (2)/(3)

The expression has been finally simplified

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