How do you convert 7/25 to a percent?

1 Answer
Mar 13, 2017

#28%#

Explanation:

#color(blue)("Preamble")#

There are 2 things that are important:

Percentage is just a particular way of writing fractions. It is special in that the denominator(bottom number) is always fixed at 100.

The symbol % may be viewed as like a unit of measurement but one that is worth #1/100#. So for example #20%-> 20xx1/100=20/100#
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#color(blue)("Answering the question")#

Let the unknown value be #x#

#7/25-=x/100# where the #-=# means 'equivalent to'.

To get #x# on its own multiply both sides by 100

#color(green)(7/25color(red)(xx100)=x/100color(red)(xx100))#

#7xx100/25=x xx100/100#

#7xx4=x xx1#

#x=28#

But this is the top number (numerator) of #28/100#

#=28xx1/100" "=" "28xx%" "=" "28%#