Converting Percentage to Fraction Explained To convert a percentage into a fraction, we use the fact that 'percent' means 'out of 100'. So, any percentage P\% can be written as the fraction (P)/(100). In this question, we need to convert 115% into a fraction. Following the rule, we write 115% as: 115\% = (115)/(100) Now, we have the fraction (115)/(100). This fraction might not be in its simplest form. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (115) and the denominator (100) and divide both by it. Let's find common factors for 115 and 100: 115 ends in 5, so it is divisible by 5. 100 ends in 0, so it is divisible by 5. Since both numbers are divisible by 5, we can divide both the numerator and the denominator by 5: Numerator: 115 ÷ 5 = 23 Denominator: 100 ÷ 5 = 20 So, the simplified fraction is: (115)/(100) = (115 ÷ 5)/(100 ÷ 5) = (23)/(20) The fraction equivalent of 115% is (23)/(20). Let's compare this result with the given options: Option Fraction Matches (23)/(20)? 1 (20)/(3) No 2 (23)/(20) Yes 3 (20)/(23) No 4 (3)/(20) No The fraction (23)/(20) matches Option 2. Revision Table: Percentage to Fraction Conversion Concept Explanation Example Percentage Definition A percentage represents a part per hundred. P\% = (P)/(100) 75\% = (75)/(100) Simplifying Fractions Divide the numerator and denominator by their greatest common divisor (GCD). (75)/(100) = (75 ÷ 25)/(100 ÷ 25) = (3)/(4) Additional Information: Types of Fractions Fractions can be classified based on their numerator and denominator: Proper Fraction: The numerator is less than the denominator (e.g., (3)/(4), (7)/(10)). These represent values less than 1. Improper Fraction: The numerator is greater than or equal to the denominator (e.g., (5)/(4), (7)/(7), (23)/(20)). These represent values greater than or equal to 1. Mixed Number: A combination of a whole number and a proper fraction (e.g., 1 (1)/(4)). Improper fractions can be converted to mixed numbers, and vice versa. For (23)/(20), it can be written as 1 (3)/(20) because 23 divided by 20 is 1 with a remainder of 3. The fraction (23)/(20) is an example of an improper fraction, which makes sense as 115% is greater than 100% (which equals 1).