Question Convert $69 \frac{3}{4} \%$ to a fraction in lowest terms.

Step 1 ：Understand the problem: We are asked to convert a percentage to a fraction in its simplest form.

Step 2 ：Convert the percentage to a fraction: To do this, we divide the percentage by 100. So, \(69 \frac{3}{4} \%\) becomes \(69 \frac{3}{4} \div 100\).

Step 3 ：Simplify the fraction: First, we need to convert the mixed number \(69 \frac{3}{4}\) to an improper fraction. To do this, we multiply the whole number by the denominator of the fraction, then add the numerator. This gives us \(69*4 + 3 = 279\). So, \(69 \frac{3}{4}\) becomes \(\frac{279}{4}\). Now, we divide this by 100, which is the same as multiplying by \(\frac{1}{100}\). So, \(\frac{279}{4} \div 100 = \frac{279}{4} * \frac{1}{100} = \frac{279}{400}\).

Step 4 ：Simplify the fraction to its lowest terms: The fraction \(\frac{279}{400}\) is already in its simplest form, as there are no common factors between 279 and 400.

Step 5 ：Check the result: We can check our result by converting the fraction back to a percentage. \(\frac{279}{400} * 100 = 69.75\%\), which is the original percentage.

Step 6 ：\(\boxed{\frac{279}{400}}\) is the simplest form of \(69 \frac{3}{4} \%\) as a fraction.