How do i make a percent to a fraction?

2 Answers
smendyka
Jan 9, 2018

"Percent" or "%" means "out of 100" or "per 100",

Therefore x% can be written as #x/100#.

Jim G.
Jan 9, 2018

#"see explanation"#

Explanation:

#"to convert percentages to fractions"#

#"percent means "color(blue)"out of a hundred"#

#"divide percent by 100 to convert to fraction"#

#rArr50%=50/100larrcolor(blue)"as a fraction"#

#"fractions can be simplified by dividing the numerator and"#
#"denominator by a "color(blue)"common factor"" if possible"#

#rArr50/100=cancel(50)^1/cancel(100)^2=1/2=0.5larrcolor(blue)"as a decimal fraction"#

#rArr50%=1/2=0.5#

#"other well known percentages/fractions are"#

#•color(white)(x)10%=10/100=1/10=0.1#

#•color(white)(x)25%=25/100=1/4=0.25#

#•color(white)(x)75%=75/100=3/4=0.75#

#color(blue)"two special cases"#

#•color(white)(x)33 1/3%=(33 1/3)/100=1/3#

#["since "3xx33 1/3=100"]#

#•color(white)(x)66 2/3%=(66 2/3)/100=2/3#

#"and of course "100%=100/100=1#

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