Complete the table of fraction, decimal and percent equivalents.

Verified step by step guidance

1. Understand that the problem asks to complete a table showing equivalent values of a fraction, a decimal, and a percent. The percent given is 50%.
2. Recall the relationship between percents, decimals, and fractions: - To convert a percent to a decimal, divide by 100. - To convert a decimal to a fraction, write the decimal over its place value and simplify.
3. Convert 50% to a decimal by dividing 50 by 100: \[ 50 \% = \frac{50}{100} = 0.50 \]
4. Convert the decimal 0.50 to a fraction by writing it as \[ \frac{50}{100} \] and then simplify the fraction to its lowest terms.
5. Verify that the fraction, decimal, and percent all represent the same value and fill in the table accordingly.

Key Concepts

Percent to Decimal Conversion

Converting a percent to a decimal involves dividing the percent value by 100. For example, 50% becomes 0.50 as a decimal. This conversion is essential for comparing and calculating values in different formats.

Decimal to Fraction Conversion

To convert a decimal to a fraction, write the decimal as a ratio of integers and simplify. For instance, 0.50 equals 50/100, which simplifies to 1/2. This process helps express decimals in fractional form, often in lowest terms.

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing numerator and denominator by their greatest common divisor (GCD). For example, 50/100 simplifies to 1/2. This ensures fractions are presented in their simplest, most understandable form.