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

Question

3429 views around the world

You can reuse this answer
Creative Commons License

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#