Write 12/20 as a percentage
The Correct Answer and Explanation is :
To convert a fraction to a percentage, you can follow a straightforward process. Let’s take the fraction ( \frac{12}{20} ) and convert it into a percentage step by step.
Step 1: Understanding the Fraction
The fraction ( \frac{12}{20} ) consists of two parts: the numerator (12) and the denominator (20). The numerator represents the part of the whole (in this case, 12 parts), while the denominator represents the total number of parts (20 parts).
Step 2: Dividing the Numerator by the Denominator
To start the conversion, divide the numerator by the denominator:
[
\frac{12}{20} = 0.6
]
Step 3: Converting to Percentage
To convert a decimal to a percentage, you multiply the decimal by 100. This is because a percentage represents a part out of 100. So, we take our decimal result from the previous step:
[
0.6 \times 100 = 60
]
Step 4: Writing the Result
The result of our calculation shows that ( \frac{12}{20} ) is equal to 60%. Therefore, we can conclude:
[
\frac{12}{20} = 60\%
]
Why This Matters
Understanding how to convert fractions to percentages is important in various contexts, such as finance, statistics, and everyday decision-making. Percentages allow us to compare different quantities on a common scale, making it easier to interpret data and assess proportions. For example, if you’re tracking your savings or determining discounts during shopping, being able to convert fractions to percentages quickly can help you make informed choices.
In summary, ( \frac{12}{20} ) converts to 60%, providing a clear way to express the relationship between the parts and the whole in percentage terms. This simple mathematical operation is a fundamental skill that is widely applicable in many areas of life.