How do you write #1 2/3# as a percent?

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Answer 1 · 2017-05-25T01:26:07

See a solution process below:

First, we need to convert this mixed number to an improper fractions:

#1 2/3 => 1 + 2/3 => (3/3 xx 1) + 2/3 => 3/3 + 2/3 => (3 + 2)/3 =>#

#5/3#

Let's call the percent we are looking for: #p#

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as #p/100#.

We can now write and solve for #p#:

#p/100 = 5/3#

#color(red)(100) xx p/100 = color(red)(100) xx 5/3#

#cancel(color(red)(100)) xx p/color(red)(cancel(color(black)(100))) = 500/3#

#p = 166.bar6#

Therefore: #1 2/3 = 166.bar6%#