what is 1 1/8 in decimal form

Daniel Parker

2 min read

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16-03-2025

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Meta Description: Learn how to convert the fraction 1 1/8 into its decimal equivalent. This simple guide provides a step-by-step explanation and explores different methods for solving this common conversion. Discover the easy answer and understand the process for future fraction-to-decimal conversions!

Introduction:

Converting fractions to decimals is a fundamental skill in mathematics. Understanding this process is crucial for various applications, from everyday calculations to more advanced mathematical problems. This article will clearly demonstrate how to convert the mixed number 1 1/8 into its decimal form. We'll break down the process step-by-step, making it easy to understand, even for those who haven't worked with fractions in a while. You'll learn the method and be able to confidently convert other fractions as well. Let's dive in and find out what 1 1/8 is in decimal form.

Understanding Mixed Numbers and Fractions

Before we begin the conversion, let's briefly review what a mixed number is. A mixed number combines a whole number and a fraction, such as 1 1/8. This means we have one whole unit and one-eighth of another unit. To convert this to a decimal, we need to express the entire quantity as a fraction, and then divide the numerator by the denominator.

Step-by-Step Conversion of 1 1/8 to Decimal

Here's how to convert 1 1/8 into its decimal equivalent:

1. Convert the Mixed Number to an Improper Fraction:

First, we transform the mixed number 1 1/8 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (8), and then add the numerator (1). This result becomes the new numerator, while the denominator remains the same.

1 * 8 + 1 = 9

So, 1 1/8 becomes 9/8.

2. Divide the Numerator by the Denominator:

Now, we perform the division: 9 divided by 8.

9 ÷ 8 = 1.125

Therefore, 1 1/8 in decimal form is 1.125.

Alternative Methods for Conversion

While the above method is the most straightforward, there are other ways to approach this conversion. You could also:

• Convert the fractional part first: Convert 1/8 to a decimal (0.125) and then add the whole number (1). This gives you 1 + 0.125 = 1.125.
• Use a calculator: Most calculators can directly handle fraction-to-decimal conversions. Simply input 1 1/8 (or its equivalent 9/8) and the calculator will provide the decimal answer: 1.125.

Practical Applications of Decimal Conversions

Converting fractions to decimals is a skill applied in numerous contexts:

• Measurement: Many measurements involve fractions (e.g., inches, centimeters). Converting them to decimals allows for easier calculations and comparisons.
• Finance: Calculations involving percentages often require converting fractions to decimals.
• Science: In scientific calculations and data analysis, decimal representation is often preferred for its clarity and ease of manipulation.

Conclusion: Mastering Fraction-to-Decimal Conversions

Converting fractions like 1 1/8 to their decimal equivalents is a fundamental mathematical skill with broad applications. By following the steps outlined above, you can confidently perform these conversions. Remember, understanding the process – converting to an improper fraction and then dividing – is key. This understanding will serve you well in various mathematical and real-world scenarios. Now you know that 1 1/8 is equal to 1.125 in decimal form!