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Answer 1 · 2017-11-16T23:17:00

#6 1/4% = 1/16#

Because a percentage is measured in a number per #100#, we can write this number as a whole fraction by dividing it by #100#.

#6 1/4% = (6 1/4)/100#

Transferring the mixed number into an improper fraction for division

#color(blue)(6 1/4 = (6 xx 4 + 1)/4#

#color(blue)(6 1/4 = 25/4#

#25/4 ÷ 100/1#

finding reciprocal and transferring from division to multiplication

#color(red)(cancel(color(black)(25))1)/4 xx 1/color(red)(cancel(color(black)(100))4)#

#1/4 xx 1/4#

#6 1/4% = 1/16#