1/20 as a decimal

Dou Vamel yi

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16-01-2025

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Understanding fractions and their decimal equivalents is a fundamental skill in mathematics. This guide will walk you through converting the fraction 1/20 into its decimal form, explaining the process step-by-step. We'll also explore different methods to achieve this conversion and offer some helpful tips.

Understanding Fractions and Decimals

Before diving into the conversion, let's briefly review the basics. A fraction represents a part of a whole. It's composed of a numerator (the top number) and a denominator (the bottom number). A decimal, on the other hand, uses a base-ten system to represent numbers less than one.

Method 1: Long Division

The most straightforward method to convert 1/20 to a decimal is through long division. Here's how:

1. Set up the division: Divide the numerator (1) by the denominator (20). This looks like 1 ÷ 20.

2. Add a decimal point and zeros: Since 20 doesn't go into 1, add a decimal point to the 1 and as many zeros as needed after the decimal point. It becomes 1.0000...

3. Perform the division: Divide 1.0000 by 20.

4. Result: You'll find that 20 goes into 1.0000 exactly 0.05 times.

Therefore, 1/20 as a decimal is 0.05.

Method 2: Equivalent Fractions

Another approach involves creating an equivalent fraction with a denominator that's a power of 10 (like 10, 100, 1000, etc.). This makes converting to a decimal much simpler.

1. Find an equivalent fraction: To get a denominator of 100, we multiply both the numerator and the denominator of 1/20 by 5. This gives us (1 x 5) / (20 x 5) = 5/100.

2. Convert to a decimal: A fraction with a denominator of 100 is easily converted to a decimal by placing the numerator before the second decimal place. 5/100 = 0.05

Again, we arrive at the decimal equivalent: 0.05.

Why This Conversion is Important

Understanding how to convert fractions like 1/20 to decimals is crucial for various applications:

• Financial Calculations: Percentages are often expressed as decimals. Converting fractions helps in accurate calculations of interest, discounts, and profit margins.
• Scientific Measurements: Many scientific measurements involve fractions. Decimal representation allows for easier comparisons and calculations.
• Everyday Calculations: Whether it's splitting a bill or calculating cooking ingredients, understanding decimal equivalents can simplify everyday tasks.

Practice Problems

Try converting these fractions to decimals using the methods described above:

• 1/4
• 3/5
• 7/10

(Answers: 0.25, 0.6, 0.7)

Conclusion

Converting 1/20 to a decimal is a simple process achievable through long division or finding equivalent fractions. Mastering this conversion will improve your understanding of mathematical concepts and equip you with a valuable skill applicable in numerous real-world situations. Remember, practice is key to mastering this skill.