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1 and 1 2 as a decimal

1 and 1 2 as a decimal

2 min read 05-02-2025
1 and 1 2 as a decimal

Understanding how to convert fractions to decimals is a fundamental skill in mathematics. This guide will walk you through converting the mixed number 1 and 1/2 into its decimal equivalent. We'll cover multiple methods to help you grasp the concept and apply it to other fractions.

Understanding Mixed Numbers and Decimals

Before we begin, let's clarify the terms:

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

Our goal is to express the mixed number "1 and 1/2" as a decimal number.

Method 1: Converting the Fraction to a Decimal

This method involves first converting the fractional part of the mixed number into a decimal and then adding the whole number part.

  1. Convert the fraction: The fraction 1/2 means one divided by two. Performing this division: 1 ÷ 2 = 0.5.

  2. Add the whole number: Now, add the whole number part (1) to the decimal equivalent of the fraction (0.5): 1 + 0.5 = 1.5.

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

Method 2: Converting to an Improper Fraction First

This method involves converting the mixed number into an improper fraction before converting it to a decimal.

  1. Convert to an improper fraction: To convert 1 and 1/2 to an improper fraction, multiply the whole number (1) by the denominator (2), add the numerator (1), and keep the same denominator. This gives us (1 * 2 + 1) / 2 = 3/2.

  2. Convert the improper fraction to a decimal: Now, divide the numerator (3) by the denominator (2): 3 ÷ 2 = 1.5.

Again, we arrive at the decimal equivalent: 1.5.

Why is understanding this conversion important?

Converting fractions to decimals is crucial for various reasons:

  • Everyday Calculations: Many everyday calculations involve decimals, such as calculating prices, measuring quantities, or dealing with percentages.

  • Further Mathematical Operations: Decimals are easier to work with in many mathematical operations like addition, subtraction, multiplication, and division compared to fractions.

  • Scientific and Technical Fields: Decimals are fundamental in numerous scientific and technical fields, including engineering, physics, and computer science.

Practice Problems

To solidify your understanding, try converting these mixed numbers to decimals:

  • 2 and 3/4
  • 5 and 1/5
  • 3 and 1/3

Remember, the key is to either convert the fraction part to a decimal directly or convert the entire mixed number to an improper fraction before dividing. Practice makes perfect!

Conclusion

Converting 1 and 1/2 to a decimal is straightforward using either of the methods described above. Mastering this conversion is an essential skill that simplifies various mathematical applications and improves your overall understanding of numbers. Remember to practice regularly to build confidence and proficiency. Understanding the concept of fractions and decimals is a cornerstone of mathematical literacy.

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