1 1/2 as a decimal

2 min read 16-01-2025

Meta Description: Learn how to easily convert the mixed number 1 1/2 into its decimal equivalent. This simple guide provides step-by-step instructions and explains the process clearly, making it perfect for students and anyone needing a quick refresher on fraction-to-decimal conversions.

Fractions and decimals are two different ways of representing the same numbers. Understanding how to convert between them is a fundamental skill in math. This article will show you exactly how to convert 1 1/2 into a decimal. We'll break down the process step-by-step, making it easy to follow, even if you haven't worked with fractions in a while.

Understanding Mixed Numbers and Decimals

Before we dive into the conversion, let's briefly review what mixed numbers and decimals are.

Mixed Numbers: A mixed number combines a whole number and a fraction, like 1 1/2 (one and one-half).
Decimals: Decimals use a base-10 system to represent numbers less than one. They use a decimal point to separate the whole number part from the fractional part (e.g., 1.5).

How to Convert 1 1/2 to a Decimal

There are two main ways to convert 1 1/2 to a decimal:

Method 1: Convert the Fraction to a Decimal First

Convert the fraction to a decimal: Divide the numerator (1) by the denominator (2). 1 ÷ 2 = 0.5
Add the whole number: Add the whole number part (1) to the decimal you just calculated (0.5). 1 + 0.5 = 1.5

Therefore, 1 1/2 as a decimal is $\boxed{1.5}$ .

Method 2: Convert the Mixed Number to an Improper Fraction First

Convert to an improper fraction: Multiply the whole number (1) by the denominator (2), then add the numerator (1). This gives you the new numerator. Keep the same denominator. (1 * 2) + 1 = 3. The improper fraction is 3/2.
Divide the numerator by the denominator: Divide 3 by 2. 3 ÷ 2 = 1.5

Therefore, 1 1/2 as a decimal is again $\boxed{1.5}$ .

Why is this Conversion Important?

Knowing how to convert fractions to decimals is crucial for various reasons:

Calculations: It's easier to perform calculations (addition, subtraction, multiplication, and division) with decimals than with fractions, particularly when using a calculator.
Data representation: Many datasets and graphs use decimals for data representation. Understanding fraction-to-decimal conversion allows for better interpretation of such data.
Real-world applications: Many real-world situations require the use of decimals, such as measuring quantities, calculating prices, or understanding percentages.

Practice Makes Perfect

Converting fractions to decimals becomes easier with practice. Try converting other mixed numbers to decimals using the methods outlined above. You can start with simple fractions like 2 1/4 or 3 3/5.

Conclusion

Converting 1 1/2 to a decimal is a straightforward process. Whether you choose to convert the fraction first or convert to an improper fraction first, the result remains the same: $\boxed{1.5}$ . Mastering this conversion is a valuable skill that will benefit you in various mathematical and real-world applications. Remember, practice is key to building confidence and fluency in this fundamental mathematical concept.