what is 28% as a fraction in its simplest form

what is 28% as a fraction in its simplest form?

The correct answer and explanation is:

To convert 28% to a fraction in its simplest form, you can follow a few straightforward steps:

1. Understand what percent means:
   Percent simply means “per hundred.” So, 28% is the same as 28 out of 100, or mathematically written as: 28100\frac{28}{100}
2. Simplify the fraction:
   The next step is to simplify this fraction by finding the greatest common divisor (GCD) of 28 and 100. The GCD is the largest number that divides both 28 and 100 evenly. To find the GCD, we can list the factors of 28 and 100:
   • The factors of 28 are 1, 2, 4, 7, 14, and 28.
   • The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
   The largest common factor between 28 and 100 is 4. Therefore, divide both the numerator and the denominator of the fraction by 4: 28÷4100÷4=725\frac{28 \div 4}{100 \div 4} = \frac{7}{25}
3. Conclusion:
   The fraction equivalent of 28% in its simplest form is: 725\frac{7}{25}

Thus, 28% as a fraction is 725\frac{7}{25}.

This process of converting a percentage to a fraction and simplifying involves two key steps: first, converting the percentage to a fraction by placing the percentage value over 100, and second, simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor. Simplification is essential because it makes the fraction easier to understand and work with. In many cases, simplifying fractions helps make calculations clearer, especially when you are performing additional mathematical operations like addition or subtraction with fractions.