UpStudy Free Solution:

To convert \(55\% \) to a fraction, follow these steps:

1. Write the percentage as a fraction with a denominator of 100:

\[55\% = \frac { 55} { 100} \]

2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 55 and 100 is 5.

3. Divide both the numerator and the denominator by their GCD:

\[\frac { 55} { 100} = \frac { 55 \div 5} { 100 \div 5} = \frac { 11} { 20} \]

So, \(55\% \) as a simplified fraction is \(\frac { 11} { 20} \).

Supplemental Knowledge

Converting percentages to fractions is a common task in arithmetic. Here are the key steps and concepts involved:

Percentage to Fraction Conversion:

- Percentage Definition: A percentage represents a part per hundred. For example, \(55\% \) means \(55\) parts out of \(100\).

- Conversion Process:

- Write the percentage as a fraction with a denominator of \(100\).

- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

 Simplifying Fractions:

- Finding the GCD: The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

- Simplification Process:

- Divide both the numerator and denominator by their GCD to get the simplest form of the fraction.

Gaining proficiency with conversions between percentages, fractions and decimals is integral to excelling at mathematics. Need additional assistance or need help solving challenging mathematical issues - UpStudy can assist!