Complete the table of fraction, decimal and percent equivalents.

Verified step by step guidance

1. Identify the given values: the fraction is \(\frac{1}{50}\) and the percent is 2%. We need to find the decimal equivalent of \(\frac{1}{50}\) and check the consistency with the percent given.
2. Convert the fraction \(\frac{1}{50}\) to a decimal by dividing the numerator by the denominator: calculate \$1 \div 50$.
3. Express the decimal obtained from the division as a percent by multiplying it by 100: \(\text{Decimal} \times 100 = \text{Percent}\).
4. Compare the percent you calculated from the fraction with the given percent (2%) to verify if they match or if there is a discrepancy.
5. If the percent values differ, consider which value is correct or if the fraction needs to be adjusted; otherwise, use the decimal you found as the decimal equivalent of \(\frac{1}{50}\).

Key Concepts

Converting Fractions to Decimals

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/50 means dividing 1 by 50, which results in 0.02. This decimal form represents the fraction in base-10 notation.

Understanding Percentages

A percentage represents a number out of 100. To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol. For instance, 0.02 multiplied by 100 equals 2%, showing the equivalence between decimal and percent.

Simplifying Fractions

Simplifying a fraction means reducing it to its lowest terms by dividing numerator and denominator by their greatest common divisor. In this question, 1/50 is already in lowest terms, ensuring accurate conversion to decimal and percent forms.