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it’s all the same part a: writing a fraction as a percent to write a fr…

Question

it’s all the same
part a: writing a fraction as a percent
to write a fraction as a percent:
numerator ÷ denominator x 100
example
write $\frac{3}{5}$ as a percent
$3div5\times100 = 60%$
practice
convert the following to percents:
$\frac{1}{2}=$____ $\frac{1}{4}=$__ $\frac{3}{4}=$____
$\frac{1}{3}=$____ $\frac{2}{3}=$__ $1=$____
part b: writing a percent as a fraction
by definition, percent means out of 100.
this means...
to write a percent as a fraction
write the percent over 100 (creating the fraction)
reduce the fraction to lowest terms (if possible)
example
write 20% as a fraction:
$\frac{20}{100}div20div20=\frac{1}{5}$
there are two percents that are approximated when converting to a fraction.
they are: $\frac{1}{3}approx33%$ and $\frac{2}{3}approx67%$
the percents have been rounded.

Explanation:

Step1: Convert 1/2 to percent

$1\div2\times100 = 50\%$

Step2: Convert 1/4 to percent

$1\div4\times100 = 25\%$

Step3: Convert 3/4 to percent

$3\div4\times100 = 75\%$

Step4: Convert 1/3 to percent

$1\div3\times100\approx33\%$ (rounded)

Step5: Convert 2/3 to percent

$2\div3\times100\approx67\%$ (rounded)

Step6: Convert 1 to percent

$1\times100 = 100\%$

Answer:

$1/2 = 50\%$
$1/4 = 25\%$
$3/4 = 75\%$
$1/3\approx33\%$
$2/3\approx67\%$
$1 = 100\%$