# How do you convert 2/3 to a percentage?

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Mar 31, 2017

A percent can be written as a fraction with a denominator of 100.

However, 3 is not a factor of 100.

Method 1

2/3 xx100% = 200/3% = 66 2/3%

The thirds are a problem because they end up as recurring decimals.

$\frac{1}{3}$ is commonly given as 33 1/3 % or 33.3%

2/3" is commonly given as " 66 2/3% or 66.7%

Method 2

2/3 xx (33 1/3)/(33 1/3) = (66 2/3)/100 =66 2/3%

Method 3

Do a division to get a decimal fraction.
$\frac{2}{3} = 2 \div 3$

$2 \div 3 = 0.66666666 \ldots . .$

The first 2 decimal places represent hundredths

0color(red)(.66)666666.... = (color(red)(66).6666666)/100 = color(red)(66).67%

Hundredths are the same as a percent.

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