What us 6/20 written as a decimal and written as a percentage
The correct answer and explanation is:
Correct Answer:
- Decimal: 6 ÷ 20 = 0.3
- Percentage: 0.3 × 100 = 30%
Explanation (300 words):
To convert a fraction like 6/20 into a decimal and a percentage, follow two simple steps:
Step 1: Convert the fraction to a decimal
This involves dividing the numerator (top number) by the denominator (bottom number). 620=6÷20=0.3\frac{6}{20} = 6 ÷ 20 = 0.3
So, the decimal form of 6/20 is 0.3.
You can also simplify the fraction before converting. Since both 6 and 20 are divisible by 2: 620=310\frac{6}{20} = \frac{3}{10} 3÷10=0.33 ÷ 10 = 0.3
Either way, you get the same decimal value.
Step 2: Convert the decimal to a percentage
To convert a decimal to a percentage, multiply it by 100 and add the percent symbol (%): 0.3×100=30%0.3 × 100 = 30\%
So, the percentage form of 6/20 is 30%.
Why this matters:
Understanding how to convert between fractions, decimals, and percentages is essential in both academic and everyday situations. For example:
- If a student scores 6 out of 20 on a quiz, the score can be represented as 0.3 or 30%.
- In finance, fractions of investment returns are often converted into percentages to show performance clearly.
This process builds number sense and fluency in math. It helps in estimating values, comparing proportions, and analyzing data accurately. Whether working in business, science, cooking, or shopping, these conversions are practical and frequently used.
Conclusion:
The fraction 6/20 equals 0.3 as a decimal and 30% as a percentage. Understanding how to do these conversions allows for clear communication and better problem-solving in various real-life scenarios.