How do you convert #3 1/8# into percents?

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Answer 1 · 2018-05-22T14:22:15

See a solution process below:

First, convert the mixed number to a fraction:

#3 1/8 = 3 + 1/8 = (8/8 * 3) + 1/8 = 24/8 + 1/8 = (24 + 1)/8 = 25/8#

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

Therefore we can write and equation for the percentage we are looking for as:

#x/100 = 25/8# and solve for #x#:

#color(red)(100) xx x/100 = color(red)(100) xx 25/8#

#cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 2500/8#

#x = 312.5#

#3 1/8 = 312.5%#