9/15 as a percent and decimal
The Correct Answer and Explanation is:
To convert the fraction ( \frac{9}{15} ) into both a decimal and a percentage, we can follow straightforward mathematical steps.
Step 1: Convert the Fraction to a Decimal
To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number).
Here, the calculation is:
[
9 \div 15 = 0.6
]
Thus, ( \frac{9}{15} ) is equivalent to ( 0.6 ) in decimal form.
Step 2: Convert the Decimal to a Percentage
To convert a decimal to a percentage, multiply the decimal by 100 and add a percent sign (%).
So, for ( 0.6 ):
[
0.6 \times 100 = 60\%
]
Therefore, ( \frac{9}{15} ) as a percentage is ( 60\% ).
Summary of Results
- As a decimal: ( 0.6 )
- As a percentage: ( 60\% )
Explanation of the Conversion Process
Understanding the conversion between fractions, decimals, and percentages is fundamental in mathematics, as it allows for a variety of applications in different fields, including finance, statistics, and everyday calculations.
Fractions represent parts of a whole. In this case, ( \frac{9}{15} ) signifies that 9 out of 15 equal parts are being considered.
Decimals provide a different perspective, expressing the same value in a base-10 format. They are particularly useful in calculations and comparisons, as they align well with the place-value system in mathematics.
Percentages express a number as a fraction of 100, making them particularly effective for comparing proportions and understanding data in a more relatable way. They are widely used in various contexts, such as in financial reports, academic grades, and surveys.
In conclusion, ( \frac{9}{15} ) is ( 0.6 ) in decimal form and ( 60\% ) as a percentage, showcasing the interconnectivity of these mathematical concepts. Understanding these conversions enhances numerical literacy and aids in better decision-making in both academic and real-life scenarios.