How do you write $1 \frac{2}{3}$ $1 2/3$ as a percent?

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How do you write $1 \frac{2}{3}$ $1 2/3$ as a percent?

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Answer 1 · 2017-05-25T01:26:07

See a solution process below:

Explanation:

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

$1 \frac{2}{3} \Rightarrow 1 + \frac{2}{3} \Rightarrow (\frac{3}{3} \times 1) + \frac{2}{3} \Rightarrow \frac{3}{3} + \frac{2}{3} \Rightarrow \frac{3 + 2}{3} \Rightarrow$ $1 2/3 => 1 + 2/3 => (3/3 xx 1) + 2/3 => 3/3 + 2/3 => (3 + 2)/3 =>$

$\frac{5}{3}$ $5/3$

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

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as $\frac{p}{100}$ $p/100$ .

We can now write and solve for $p$ $p$ :

$\frac{p}{100} = \frac{5}{3}$ $p/100 = 5/3$

$100 \times \frac{p}{100} = 100 \times \frac{5}{3}$ $color(red)(100) xx p/100 = color(red)(100) xx 5/3$

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

$p = 166.bar6$

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

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