Convert 1/5 into a percentage and decimal
The Correct Answer and Explanation is:
To convert the fraction 1/5 into a percentage and a decimal, follow these steps:
Decimal Conversion:
- The fraction 1/5 means 1 divided by 5.
- Perform the division: 1÷5=0.21 \div 5 = 0.21÷5=0.2 So, the decimal equivalent of 1/5 is 0.2.
Percentage Conversion:
- To convert a decimal to a percentage, multiply it by 100 and add the percentage symbol (%).
- For 0.2, multiply it by 100: 0.2×100=200.2 \times 100 = 200.2×100=20
- Therefore, 0.2 is equal to 20%.
Explanation:
To better understand the conversion process, consider the decimal format. Fractions are often converted into decimals by division, as we did above. 1/5 as a fraction represents one part out of five equal parts. When you divide 1 by 5, the result is 0.2, which is a decimal representation of the fraction. This decimal can be further transformed into a percentage by recognizing that a percentage is simply a decimal number multiplied by 100. Multiplying 0.2 by 100 gives 20%, indicating that 1/5 is the same as 20% of a whole.
These conversions are important for understanding and comparing quantities in different formats. Fractions are commonly used in mathematical equations, while decimals are often used in measurements and scientific calculations. Percentages, on the other hand, are widely used in daily life for expressing proportions, like discounts, interest rates, and statistics. By knowing how to convert between these forms, it becomes easier to interpret and manipulate numerical information across various fields.
