1 and 1/2 as a decimal

Daniel Parker

2 min read

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24-02-2025

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Meta Description: Learn how to convert the mixed number 1 and 1/2 into its decimal equivalent. This easy-to-follow guide provides step-by-step instructions and explains the process clearly. Perfect for students and anyone needing a quick refresher on fraction-to-decimal conversions!

Fractions and decimals are two ways to represent parts of a whole. Knowing how to convert between them is a valuable skill in math. This article will show you how to easily convert the mixed number 1 and 1/2 into its decimal equivalent.

Understanding Mixed Numbers and Decimals

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

• Mixed Numbers: A mixed number combines a whole number and a fraction (e.g., 1 and 1/2, 2 and 3/4).
• Decimals: A decimal uses a decimal point to separate the whole number from the fractional part (e.g., 1.5, 2.75).

Converting 1 and 1/2 to a Decimal: Step-by-Step

Converting 1 and 1/2 to a decimal is straightforward. Here's how:

Step 1: Separate the Whole Number and Fraction

First, separate the mixed number into its whole number part and its fractional part. In this case, we have a whole number of 1 and a fraction of 1/2.

Step 2: Convert the Fraction to a Decimal

To convert the fraction 1/2 to a decimal, you divide the numerator (the top number) by the denominator (the bottom number):

1 ÷ 2 = 0.5

Step 3: Combine the Whole Number and Decimal

Now, combine the whole number (1) and the decimal equivalent of the fraction (0.5):

1 + 0.5 = 1.5

Therefore, 1 and 1/2 as a decimal is 1.5.

Alternative Method: Converting to an Improper Fraction First

Another way to convert 1 and 1/2 to a decimal is to first change it into an improper fraction.

Step 1: Convert to an Improper Fraction

An improper fraction has a numerator larger than or equal to its denominator. To convert 1 and 1/2 to an improper fraction:

1. Multiply the whole number by the denominator: 1 * 2 = 2
2. Add the numerator: 2 + 1 = 3
3. Keep the same denominator: 3/2

Step 2: Divide to get the Decimal

Now divide the numerator by the denominator:

3 ÷ 2 = 1.5

Again, we get 1.5 as the decimal equivalent.

Why is this Conversion Important?

Understanding how to convert fractions to decimals is essential for various reasons:

• Calculations: Decimals are often easier to use for calculations, particularly when using calculators or computers.
• Real-World Applications: Many real-world measurements and quantities are expressed in decimal form (e.g., prices, weights, lengths).
• Data Analysis: Decimals are commonly used in data analysis and statistics.

Practice Problems

Try converting these mixed numbers to decimals using the methods outlined above:

• 2 and 1/4
• 3 and 3/5
• 1 and 7/10

Understanding the conversion between fractions and decimals enhances your mathematical abilities, making it easier to handle various numerical situations. Remember, practice makes perfect!