how do you write 1 1 2 as a decimal

Daniel Parker

2 min read

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28-02-2025

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The mixed number 1 1/2 represents one whole unit and one-half of another. To convert it to a decimal, we need to understand that decimals represent fractions based on powers of ten. Let's break down the process:

Understanding Mixed Numbers and Decimals

A mixed number combines a whole number and a fraction (e.g., 1 1/2). A decimal uses a base-ten system, where digits to the right of the decimal point represent tenths, hundredths, thousandths, and so on.

Method 1: Converting the Fraction to a Decimal

The easiest way to convert 1 1/2 to a decimal is to first focus on the fractional part: 1/2. We know that 1/2 is equivalent to 0.5 (one-half). This is because if you divide 1 by 2, you get 0.5. Therefore:

1 1/2 = 1 + 0.5 = 1.5

Method 2: Converting to an Improper Fraction First

Alternatively, we can convert the mixed number into an improper fraction before converting to a decimal. An improper fraction has a numerator larger than or equal to its denominator.

1. Convert to an Improper Fraction: To do this, multiply the whole number (1) by the denominator (2), add the numerator (1), and keep the same denominator:

   (1 * 2) + 1 = 3 The improper fraction is 3/2.

2. Divide the Numerator by the Denominator: Divide the numerator (3) by the denominator (2):

   3 ÷ 2 = 1.5

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

Visual Representation

Imagine a pie cut into two equal slices. 1 1/2 represents one whole pie and one-half of another pie. If each slice is worth 0.5 (one-half), then one whole pie and a half is 1 + 0.5 = 1.5.

Practical Applications

Converting fractions to decimals is a useful skill in many areas, including:

• Cooking and Baking: Following recipes that call for fractional measurements.
• Construction and Engineering: Precise measurements and calculations.
• Finance: Calculating percentages, interest rates, and other financial figures.
• Data Analysis: Working with datasets that include both whole numbers and fractions.

Whether you use the first or second method, the result is the same: 1 1/2 is equal to 1.5 as a decimal. Choose the method you find most comfortable and efficient.