Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) ?Decimal ?Percent 20%

Verified step by step guidance

1. insert step 1: Start by understanding that you need to convert the given percent, 20%, into both a fraction and a decimal.
2. insert step 2: To convert a percent to a decimal, divide the percent value by 100. This is because 'percent' means 'per hundred'.
3. insert step 3: To convert a percent to a fraction, write the percent as a fraction with a denominator of 100, and then simplify the fraction to its lowest terms.
4. insert step 4: Simplify the fraction obtained in the previous step by finding the greatest common divisor (GCD) of the numerator and the denominator, and divide both by this number.
5. insert step 5: Verify your results by ensuring that the decimal and fraction are equivalent to the original percent, 20%.

Key Concepts

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with the numerator (top number) indicating how many parts are taken and the denominator (bottom number) showing the total number of equal parts. To express a fraction in its lowest terms, one must divide both the numerator and denominator by their greatest common divisor (GCD).

Decimals

Decimals are another way to represent fractions, particularly those with denominators that are powers of ten. A decimal is written with a decimal point separating the whole number part from the fractional part. For example, the fraction 1/4 can be expressed as 0.25 in decimal form, which is useful for calculations and comparisons.

Percentages

A percentage is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. To convert a fraction or decimal to a percentage, you multiply it by 100. For instance, 20% means 20 out of 100, which can also be represented as the fraction 1/5 or the decimal 0.20.