1 1/8 to decimal

Daniel Parker

2 min read

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17-03-2025

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Fractions and decimals are two ways of representing the same numbers. Knowing how to convert between them is a crucial skill in math and many other fields. This article will show you how to easily convert the mixed number 1 1/8 into its decimal equivalent. We'll break down the process step-by-step, making it easy to understand and replicate for other mixed numbers.

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 1/8). A decimal uses a decimal point to separate the whole number part from the fractional part (like 1.125).

Method 1: Converting the Fraction to a Decimal, Then Adding the Whole Number

This is the most common and straightforward method. We'll first convert the fraction 1/8 to a decimal, and then add the whole number 1.

Step 1: Divide the numerator by the denominator.

To convert 1/8 to a decimal, divide the numerator (1) by the denominator (8):

1 ÷ 8 = 0.125

Step 2: Add the whole number.

Now, add the whole number part (1) to the decimal equivalent of the fraction (0.125):

1 + 0.125 = 1.125

Therefore, 1 1/8 as a decimal is 1.125.

Method 2: Converting the Mixed Number to an Improper Fraction, Then to a Decimal

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

Step 1: Convert the mixed number to an improper fraction.

To convert 1 1/8 to an improper fraction, multiply the whole number (1) by the denominator (8), add the numerator (1), and keep the same denominator (8):

(1 * 8) + 1 = 9

The improper fraction is 9/8.

Step 2: Divide the numerator by the denominator.

Now, divide the numerator (9) by the denominator (8):

9 ÷ 8 = 1.125

Again, we find that 1 1/8 as a decimal is 1.125.

Why Learn Decimal Conversions?

Understanding how to convert fractions to decimals is crucial for various applications:

• Everyday Calculations: Many everyday tasks involve decimals, such as calculating prices, measuring ingredients, or figuring out distances.

• Advanced Math: Decimal representation is essential in algebra, calculus, and other advanced mathematical concepts.

• Science and Engineering: Scientific and engineering calculations often rely heavily on decimal representation.

• Computer Programming: Computers primarily use decimal representation for numerical data.

Practice Makes Perfect!

Try converting other mixed numbers to decimals using these methods. The more you practice, the more comfortable and efficient you'll become. Start with simple fractions and gradually increase the complexity. You'll soon master this valuable skill!