convert 1 1/2 to a decimal

2 min read 24-02-2025

Knowing how to convert fractions to decimals is a fundamental skill in math. This article will guide you through converting the mixed number 1 1/2 into its decimal equivalent. We'll explore several methods, making this process clear and easy to understand. Understanding this conversion is crucial for various applications, from simple calculations to more complex mathematical problems.

Understanding Mixed Numbers and Decimals

Before we begin, let's refresh our understanding of mixed numbers and decimals. A mixed number combines a whole number and a fraction (like 1 1/2). A decimal is a number expressed using a base-ten system, with a decimal point separating the whole number part from the fractional part (like 1.5).

Method 1: Converting the Fraction to a Decimal

The most straightforward method involves first converting the fraction part of the mixed number into a decimal, and then adding the whole number.

Step 1: Convert the fraction to a decimal.

To convert the fraction 1/2 to a decimal, we divide the numerator (1) by the denominator (2):

1 ÷ 2 = 0.5

Step 2: Add the whole number.

Now, add the whole number (1) to the decimal we just calculated (0.5):

1 + 0.5 = 1.5

Therefore, 1 1/2 is equal to 1.5 as a decimal.

Method 2: Converting the Mixed Number to an Improper Fraction

This method involves first converting the mixed number into an improper fraction, and then converting the improper fraction to a decimal.

Step 1: Convert to an improper fraction.

To convert 1 1/2 to an improper fraction, we multiply the whole number (1) by the denominator (2), add the numerator (1), and keep the same denominator (2):

(1 x 2) + 1 = 3 This becomes 3/2

Step 2: Convert the improper fraction to a decimal.

Now, divide the numerator (3) by the denominator (2):

3 ÷ 2 = 1.5

Again, we find that 1 1/2 is equal to 1.5 as a decimal.

Method 3: Using Decimal Knowledge

This method utilizes prior knowledge of common fraction-to-decimal conversions. Many common fractions have easily memorized decimal equivalents. Since 1/2 is a common fraction, you might already know its decimal equivalent is 0.5.

Adding the whole number 1 to 0.5 gives us the final answer: 1.5.

Why is understanding this conversion important?

Converting between fractions and decimals is a fundamental skill used in various contexts:

Everyday calculations: Sharing items, calculating discounts, measuring ingredients.
Advanced mathematics: Algebra, calculus, and other higher-level math topics often require comfortable manipulation of both fractions and decimals.
Science and engineering: Many scientific and engineering calculations involve units and measurements that might be expressed as fractions or decimals.

Conclusion

Converting 1 1/2 to a decimal is a simple yet crucial skill. We've explored three different methods to achieve this conversion, illustrating the versatility of mathematical approaches. Whether you choose to convert the fraction first, work with improper fractions, or utilize memorized decimal equivalents, the final answer remains the same: 1.5. Remember, mastering this conversion will solidify your understanding of fundamental mathematical principles and will be incredibly useful in numerous contexts.