Complete the table of fraction, decimal and percent equivalents.
Fraction in lowest terms(or Whole Number) 1/3
Decimal ?
Percent ?
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1
Step 1: To convert the fraction to a decimal, divide the numerator (1) by the denominator (3).
Step 2: Perform the division: 1 divided by 3. This will give you a repeating decimal.
Step 3: To convert the decimal to a percent, multiply the decimal result by 100.
Step 4: Express the result from Step 3 as a percentage by adding the percent symbol (%) at the end.
Step 5: Ensure that the fraction is in its lowest terms, which it already is, as 1 and 3 have no common factors other than 1.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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.
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.
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.