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113 LearnersLast updated on March 10th, 2025
5.5% as a Fraction
Numbers can be categorized into different types. Fractions are one such type, represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a part of a whole. Percentages are another way to express parts of a whole, often converting easily into fractions. For example, percentages like 5.5% can be converted to fractions, which we will learn in this content.
What is 5.5% as a Fraction?
Answer
The answer for 5.5% as a fraction is 11/200.
Explanation
Converting a percentage to a fraction is a straightforward process. Follow these steps to find the answer.
Step 1: Start by writing the percentage as a fraction with 100 as the denominator. So, 5.5% becomes 5.5/100.
Step 2: Since 5.5 is a decimal, multiply both the numerator and the denominator by 10 to eliminate the decimal. This gives 55/1000.
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 55 and 1000, which is 5. Divide both the numerator and the denominator by 5. 55/1000 = 11/200
Thus, 5.5% can be written as a fraction 11/200.
Important Glossaries for 5.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A way of expressing a number as a fraction of 100, denoted by the symbol %.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their GCD.
