0.147 as a fraction

Charlotte

2 min read

·

01-03-2025

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Converting decimals to fractions might seem daunting, but it's a straightforward process once you understand the steps. This article will guide you through converting the decimal 0.147 into its fractional equivalent. We'll break it down step-by-step, making it easy to follow and understand. By the end, you'll be able to confidently tackle similar decimal-to-fraction conversions.

Understanding Decimal Places

Before we begin, let's quickly review decimal places. In the number 0.147:

• 0.1 represents one-tenth (1/10)
• 0.04 represents four-hundredths (4/100)
• 0.007 represents seven-thousandths (7/1000)

Each digit to the right of the decimal point represents a progressively smaller fraction of one.

Converting 0.147 to a Fraction

Here's how to convert 0.147 into a fraction:

1. Write the decimal as a fraction over 1:

   0.147/1

2. Multiply the numerator and denominator by 1000: We multiply by 1000 because there are three digits after the decimal point (thousandths place). This removes the decimal point.

   (0.147 * 1000) / (1 * 1000) = 147/1000

3. Simplify the fraction (if possible): In this case, 147 and 1000 share no common factors other than 1. Therefore, the fraction is already in its simplest form.

The Final Answer

Therefore, 0.147 as a fraction is 147/1000. This fraction is already simplified and represents the exact equivalent of the decimal 0.147.

Further Practice: Converting Other Decimals to Fractions

The method outlined above can be applied to any decimal. Just remember to:

• Count the digits after the decimal point. This determines the power of 10 you'll multiply by (10, 100, 1000, etc.).
• Multiply both the numerator and the denominator by this power of 10 to eliminate the decimal.
• Simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

For example, let's convert 0.25 to a fraction:

1. 0.25/1
2. (0.25 * 100) / (1 * 100) = 25/100
3. Simplify: 25/100 = 1/4 (both numerator and denominator are divisible by 25)

With practice, you'll become proficient in converting decimals to fractions. Remember the key is understanding place value and simplifying the resulting fractions.