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

Question

asked Mar 13, 2022 33.7k views

1 Answer

Atomicules · Answer 1 · 2022-03-18T18:58:26+0000

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