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

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.

To convert $2.75\%$ to a fraction, we first express it as: $$\frac{2.75}{100}$$

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

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