How do you convert 1/4 into a percent and decimal?

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Answer 1 · 2017-04-29T23:42:17

See the entire solution process below:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as $x/100$ .

We can write the problem to convert this fraction into a percent as:

$1/4 = x/100$

$color(red)(100) * 1/4 = color(red)(100) * x/100$

$color(red)(100)/4 = cancel(color(red)(100)) * x/color(red)(cancel(color(black)(100)))$

$25 = x$

$x = 25$

Therefore: $1/4$ is $25/100 =$ 25%

To convert to a decimal:

$25/100$ is the same as 25 one-hundredths or:

$1/4 = 0.25$