Understanding how to convert fractions to decimals is essential for various mathematical operations and real-world applications. In this article, we will delve into the conversion of 5 1/2 to a decimal, exploring different methods, providing examples, and uncovering its practical significance.
Method 1: Division
The most straightforward way to convert 5 1/2 to a decimal is through division. Divide the numerator (5) by the denominator (2):
5 ÷ 2 = 2.5
Therefore, 5 1/2 as a decimal is 2.5.
Method 2: Mixed Number Conversion
Another method involves converting the mixed number to an improper fraction and then dividing the numerator by the denominator:
5 1/2 = (5 x 2 + 1) / 2 = 11/2
11 ÷ 2 = 2.5
This yields the same decimal value as the division method.
Converting fractions to decimals is crucial in various fields, including:
Fraction | Decimal |
---|---|
1/2 | 0.5 |
1/4 | 0.25 |
3/4 | 0.75 |
1/8 | 0.125 |
3/8 | 0.375 |
5/8 | 0.625 |
7/8 | 0.875 |
A baker needs to measure out exactly 5 1/2 cups of flour for a cake recipe. However, she only has measuring cups in whole and half-cup increments. By converting 5 1/2 to a decimal, she realizes that she needs to measure out 2.5 cups of flour. This ensures the correct proportions and a successful baking outcome.
Lesson Learned: Converting fractions to decimals enables precise measurements, eliminating guesswork.
An accountant needs to calculate the percentage of revenue growth for a company. The company's revenue increased from $1,200,000 to $1,350,000. By converting the revenue growth (150,000) into a decimal (150,000 / 1,200,000 = 0.125), the accountant determines that revenue grew by 12.5%.
Lesson Learned: Converting fractions to decimals facilitates accurate calculations of percentages and proportions.
1. Is 5 1/2 a terminating or repeating decimal?
- 5 1/2 is a terminating decimal, as it can be expressed as a finite number of decimal places (2.5).
2. How do I convert 5 1/2 to a percentage?
- First, convert 5 1/2 to a decimal (2.5). Then, multiply by 100 to get 250%.
3. Can I use a calculator to convert fractions to decimals?
- Yes, most calculators have a function that allows you to convert fractions to decimals.
4. Why is it important to convert fractions to decimals in science and engineering?
- Converting fractions to decimals ensures precision in measurements and calculations, which is crucial in scientific and engineering fields.
5. How can I check my answer when converting a fraction to a decimal?
- You can use a calculator or refer to a table of fractions and their decimal equivalents to verify your result.
6. What is the relationship between 5 1/2 and 10/2?
- 5 1/2 and 10/2 are equivalent fractions, as they both simplify to 2.5 when converted to decimals.
Converting 5 1/2 to a decimal (2.5) is a fundamental skill for various mathematical operations and practical applications. By understanding the methods and significance of decimal conversion, we can unlock the versatility and accuracy of this mathematical representation.
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