Reviewed by Camille Ira B. Mendoza
What is 2% as a Fraction in Simplest Form?
Answer: 2% as a fraction in simplest form is 1/50
Percentages represent a ratio out of 100, so converting a percentage like 2% into a fraction involves expressing it as a ratio of 2 to 100. After this, we simplify the resulting fraction to its lowest terms. This process is straightforward and helps build a clearer understanding of the relationship between percentages and fractions.
Methods
Math Tutor Explanation Using the Basic Fraction Method
We start by writing the percentage as a fraction over 100, then simplify the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor.
Step 1: Step 1: Write 2% as a fraction: 2/100
Step 2: Step 2: Divide both the numerator and denominator by 2 to simplify the fraction
Math Tutor Explanation Using the Decimal-to-Fraction Method
Convert the percentage to a decimal first, then turn the decimal into a fraction and simplify as needed.
Step 1: Step 1: Convert 2% to a decimal by dividing by 100 to get 0.02
Step 2: Step 2: Write 0.02 as a fraction: 2/100
Step 1:
Step 2:
Math Tutor suggests: Convert Between Percents, Decimals, and Fractions
Increase your skills in converting percentages, decimals, and fractions by practicing these similar exercises.
FAQ on Converting Percentages to Fractions
What does percent mean?
Percent means 'per hundred' and represents a part out of 100.
How do I convert any percent to a fraction?
Write the percent as a ratio over 100 and simplify if possible.
Why do we need to simplify the fraction?
Simplifying a fraction makes it easier to understand and use in calculations.
Can all percentages be simplified to a fraction with a denominator of 100?
All percentages can be written over 100, but not all result in lowest terms with 100 as the denominator.
Is there a shortcut for simplifying small percentages?
Yes, look for common factors between the numerator and denominator to simplify quickly.
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