Questions: Write 2.75% as a fraction in simplest form.

Write 2.75% as a fraction in simplest form.
Transcript text: Knowledge Check Question 4 Write $2.75 \%$ as a fraction in simplest form.
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Solution

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Solution Steps

To convert a percentage to a fraction, we first express the percentage as a fraction with a denominator of 100. Then, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this GCD.

Step 1: Convert Percentage to Fraction

To convert \(2.75\%\) to a fraction, we first express it as: \[ \frac{2.75}{100} \]

Step 2: Eliminate the Decimal

To eliminate the decimal, multiply both the numerator and the denominator by 100: \[ \frac{2.75 \times 100}{100 \times 100} = \frac{275}{10000} \]

Step 3: Simplify the Fraction

To simplify \(\frac{275}{10000}\), we find the greatest common divisor (GCD) of 275 and 10000, which is 25. We then divide both the numerator and the denominator by 25: \[ \frac{275 \div 25}{10000 \div 25} = \frac{11}{400} \]

Final Answer

\[ \boxed{\frac{11}{400}} \]

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