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express 11% as a fraction in simplest form. options: 1/11, 100/11, 1/9,…

Question

express 11% as a fraction in simplest form. options: 1/11, 100/11, 1/9, 11/100

Explanation:

Step1: Recall percentage to fraction conversion

A percentage \( x\% \) can be written as a fraction \( \frac{x}{100} \) because "percent" means "per hundred".

Step2: Apply the conversion to 11%

For \( 11\% \), using the rule from Step 1, we write it as \( \frac{11}{100} \). Now, we check if this fraction can be simplified. The greatest common divisor (GCD) of 11 and 100 is 1 (since 11 is a prime number and does not divide 100), so \( \frac{11}{100} \) is in its simplest form.

Answer:

D. \(\frac{11}{100}\) (assuming the options are labeled A, B, C, D with D being \(\frac{11}{100}\))