Complete the table of fraction, decimal and percent equivalents.
Fraction in lowest terms(or Whole Number) 1/50
Decimal ?
Percent 2%
Verified step by step guidance
1
Step 1: Understand that the problem requires converting a fraction to both a decimal and a percent.
Step 2: To convert the fraction to a decimal, divide the numerator (1) by the denominator (50).
Step 3: To convert the decimal obtained in Step 2 to a percent, multiply the decimal by 100.
Step 4: Recognize that the percent equivalent is already given as 2%, which can be used to verify the decimal conversion.
Step 5: Ensure that the fraction, decimal, and percent are consistent with each other, confirming the accuracy of the conversions.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Fraction to Decimal Conversion
To convert a fraction to a decimal, divide the numerator by the denominator. For example, for the fraction 1/50, you would perform the division 1 ÷ 50, which results in 0.02. This method is fundamental in understanding how fractions relate to decimal values.
To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign. For instance, converting 0.02 to a percent involves calculating 0.02 × 100, which equals 2%. This conversion is essential for expressing values in different formats, particularly in financial and statistical contexts.
A fraction is in its lowest terms when the numerator and denominator have no common factors other than 1. For example, the fraction 1/50 is already in its lowest terms because 1 is a prime number and cannot be simplified further. Understanding this concept is crucial for accurately representing fractions.