Change 23 out of 25 to a percentage.
The Correct Answer and Explanation is :
To convert a fraction like 23 out of 25 to a percentage, follow these steps:
Step-by-Step Calculation:
- Divide the numerator by the denominator:
The numerator is 23, and the denominator is 25.
[
23 \div 25 = 0.92
] - Convert to a percentage:
To convert the decimal to a percentage, multiply it by 100:
[
0.92 \times 100 = 92
]
So, 23 out of 25 is 92%.
Explanation:
The process of converting a fraction into a percentage involves expressing the fraction as a decimal and then multiplying that decimal by 100. Here’s why this works:
- Fractions represent a part of a whole. The fraction 23/25 means 23 parts out of a total of 25 parts.
- Division helps you find what portion of one whole (1) 23 represents, which gives you the decimal form. In this case, dividing 23 by 25 results in 0.92, indicating that 23 is 92% of 25.
- Multiplying by 100 simply converts the decimal into a percentage format. The decimal 0.92 means 92 out of 100, or 92%.
This method is used universally to convert any fraction to a percentage, whether the fraction is simple (like 23/25) or complex (like 15/37). Understanding how to do this is important in many areas, such as calculations for scores, financial analysis, or comparing quantities. Percentages are often easier to interpret and communicate than fractions or decimals, making this conversion a useful skill for everyday life.
In educational contexts, this type of calculation helps students understand how much of a given total is represented by a part, such as scoring 23 out of 25 on a test, which is essentially 92% of the maximum score.