Write each percent as a fraction. Give answers in lowest terms.
$2.5 percent sign$

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Understand that percent means 'per hundred,' so 2.5% can be written as the fraction $ \frac{2.5}{100} $.

Convert the decimal 2.5 to a fraction: $ 2.5 = \frac{25}{10} $, so rewrite the fraction as $ \frac{25/10}{100} $.

Simplify the complex fraction by multiplying numerator and denominator: $ \frac{25}{10} \times \frac{1}{100} = \frac{25}{1000} $.

Reduce the fraction $ \frac{25}{1000} $ to its lowest terms by dividing numerator and denominator by their greatest common divisor (GCD).

Express the simplified fraction as the final answer representing 2.5% in lowest terms.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Understanding Percentages

A percentage represents a part out of 100. For example, 2.5% means 2.5 parts out of 100. This concept helps convert percentages into fractions or decimals by recognizing the denominator as 100.

Converting Percent to Fraction

To convert a percent to a fraction, write the percentage number over 100. For 2.5%, write it as 2.5/100. This step is essential to express the percent in fraction form before simplifying.

Simplifying Fractions

Simplifying fractions involves dividing the numerator and denominator by their greatest common divisor (GCD). For decimals in the numerator, convert to an integer by multiplying numerator and denominator by a power of 10 before simplifying.

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