Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/3Decimal ?Percent ?

Verified step by step guidance

1. Step 1: To convert the fraction \( \frac{1}{3} \) to a decimal, divide the numerator (1) by the denominator (3).
2. Step 2: Perform the division: 1 divided by 3. This will give you a repeating decimal.
3. Step 3: To convert the decimal to a percent, multiply the decimal result by 100.
4. Step 4: Express the result from Step 3 as a percentage by adding the percent symbol (%) at the end.
5. Step 5: Ensure that the fraction \( \frac{1}{3} \) is in its lowest terms, which it already is, as 1 and 3 have no common factors other than 1.

Key Concepts

Fraction

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator indicates how many parts are taken and the denominator indicates the total number of equal parts. For example, 1/3 means one part out of three equal parts. Understanding fractions is essential for converting them into decimals and percentages.

Decimal

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part. For instance, the decimal equivalent of 1/3 is approximately 0.333. Decimals are often used in calculations and can be easily converted to percentages by multiplying by 100.

Percent

A percent is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. To convert a decimal to a percent, you multiply the decimal by 100. For example, the decimal 0.333 corresponds to 33.3%. Understanding percentages is crucial for interpreting data and making comparisons in various contexts.