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 $x$ :

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

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

$x = 312.5$

$3 1/8 = 312.5%$

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