Understanding 1.125 as a Fraction
The number 1.125 is a decimal number, but how do we express it as a fraction? This can be useful for various mathematical calculations, especially when dealing with fractions. Let's break down how to convert 1.125 to a fraction.
Converting 1.125 to a Fraction
1. Identify the Decimal Places: The number 1.125 has three decimal places. This means the last digit (5) is in the thousandths place.
2. Place the Decimal over a Power of 10: Since the last digit is in the thousandths place, we place the decimal number (1.125) over 1000, which is 10 raised to the power of three (10^3). This gives us: 1125/1000
3. Simplify the Fraction: Both the numerator (1125) and the denominator (1000) are divisible by 125. Simplifying the fraction, we get: 9/8
Therefore, 1.125 expressed as a fraction is 9/8.
Understanding the Result
The fraction 9/8 represents an improper fraction, where the numerator is greater than the denominator. This indicates a value greater than one. You can also express this as a mixed number: 1 1/8.
Practical Applications
Converting decimals to fractions is essential for:
- Precise Calculations: When working with fractions, you can perform more accurate calculations compared to decimal numbers, especially when dealing with complex equations.
- Understanding Ratios: Fractions can be used to represent ratios and proportions. For example, if a recipe calls for 1.125 cups of flour, you can use the fraction 9/8 to understand the ratio of flour needed in the recipe.
- Working with Units: Fractions are commonly used when working with units of measurement, such as fractions of an inch or fractions of a liter.
Conclusion
Converting decimals to fractions is a fundamental mathematical skill with practical applications. By following the steps outlined above, you can easily transform decimals like 1.125 into their fractional representations. This knowledge can be useful for various mathematical tasks and everyday applications.