Given: 2 2/5%, how do you convert into a fraction in lowest terms and as a decimal?

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Answer 1 · 2016-10-30T08:25:34

#2 1/2% = 0.0225 = 9/400#

#2 2/5% = 2.25%#

A percent is a number given out of 100.
Write #2.25%# as a fraction out of 100 first.

#2.25 = 2.25/100" "larr# do not mix fractions and decimals

#2.25/100 xx 100/100 = 225/10000" "larr# get rid of the decimal

#225/10000 (div25)/(div25) = 9/400" "larr# simplify

Any fraction which has a denominator which is a power of 10 can be written as a decimal immediately.

The number of zeros indicates the number of decimal places.
(Make sure there is no decimal in the numerator first)

#3/10 = 0.3" and "8/100 = 0.08" and "51/1000 = 0.051# etc

We have #225/10000 = 0.0225#