What is 9/15 as a percentage
The Correct Answer and Explanation is :
The correct answer is: 60%
To convert the fraction ( \frac{9}{15} ) into a percentage, follow these steps:
- Divide the numerator by the denominator:
[
\frac{9}{15} = 0.6
] - Multiply the result by 100:
[
0.6 \times 100 = 60
]
Therefore, ( \frac{9}{15} ) as a percentage is 60%.
Explanation
Fractions represent a part of a whole and can be converted into percentages, which express how much of the whole is represented in terms of 100. In this case, the fraction ( \frac{9}{15} ) indicates that out of 15 equal parts, 9 are being considered.
The first step in converting a fraction to a percentage involves performing the division of the numerator (9) by the denominator (15). This calculation results in a decimal value of 0.6. The decimal 0.6 signifies that 9 is 60% of 15.
Next, we multiply the decimal by 100 to find the percentage. This multiplication is essential because percentages are based on a scale of 100, making it easier to compare different quantities.
This conversion is particularly useful in various applications, such as determining grades, analyzing statistics, or understanding ratios in daily life. For example, if a student scores 9 out of 15 on a test, expressing this score as a percentage (60%) can provide a clearer understanding of their performance relative to a maximum score.
Understanding how to convert fractions to percentages enhances numerical literacy and helps in interpreting data effectively. This skill is applicable in fields like finance, healthcare, and education, where data comparison and interpretation are essential. Ultimately, converting fractions like ( \frac{9}{15} ) to percentages allows individuals to communicate information more effectively and make informed decisions based on comparative values.