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Converting a Fraction to a Percent

Express the fraction [tex]\frac{6}{22}[/tex] as a percent. Round the answer to the nearest whole percent.

[tex]\square[/tex]


Sagot :

To convert the fraction \(\frac{6}{22}\) to a percent and round to the nearest whole percent, follow these steps:

1. Convert the fraction to a decimal:
[tex]\[ \frac{6}{22} \approx 0.2727272727272727 \][/tex]

2. Convert the decimal to a percent:
To convert a decimal to a percent, multiply by 100. Hence,
[tex]\[ 0.2727272727272727 \times 100 = 27.27272727272727 \][/tex]

3. Round to the nearest whole percent:
To round 27.27272727272727 to the nearest whole number, you look at the first digit after the decimal point. Since it is a 2 (which is less than 5), you round down.
[tex]\[ 27.27272727272727 \approx 27 \][/tex]

Therefore, the fraction [tex]\(\frac{6}{22}\)[/tex] expressed as a percent, rounded to the nearest whole percent, is [tex]\(27\%\)[/tex].
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