What is 23/100 expressed as a percentage?a)0.03%b)2.3%c)0.23%d)23%Corr...
To convert a fraction to a percentage, multiply by 100.
The fraction 23/100 is already a percentage because the denominator is 100.
Thus, 23/100 equals 23%.
What is 23/100 expressed as a percentage?a)0.03%b)2.3%c)0.23%d)23%Corr...
Understanding Fractions and Percentages
To convert a fraction into a percentage, we need to understand the relationship between the two. A percentage represents a part per hundred.
Step-by-Step Conversion:
1. Identify the Fraction:
The given fraction is 23/100.
2. Convert to Percentage:
To convert a fraction to a percentage, you multiply the fraction by 100.
For 23/100, the calculation is:
(23/100) × 100 = 23.
3. Result:
The result is 23. This means that 23/100 is equal to 23%.
Verification of Options:
- Option a: 0.03%
This is incorrect as it represents a much smaller value.
- Option b: 2.3%
This is also incorrect, as it indicates only a fraction of the actual value.
- Option c: 0.23%
This too is incorrect; it suggests a very small percentage.
- Option d: 23%
This is the correct answer since we calculated that 23/100 equals 23%.
Conclusion:
Therefore, 23/100 expressed as a percentage is indeed 23%. Understanding this conversion is essential in mathematics, especially when dealing with comparisons and data representation.