0.147 as a fraction

Daniel Parker

2 min read

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26-02-2025

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Meta Description: Learn how to convert the decimal 0.147 into a fraction. This guide provides a simple, step-by-step method, perfect for students and anyone needing to understand decimal-to-fraction conversions. We'll cover the process, simplify the fraction, and offer additional tips for similar conversions.

Understanding how to convert decimals to fractions is a fundamental skill in mathematics. This article will guide you through the process of converting the decimal 0.147 into its fractional equivalent. We'll break down the steps clearly, making it easy to follow along, even if you're not a math expert.

Understanding Decimals and Fractions

Before we begin, let's briefly review the basics. A decimal represents a part of a whole number, using a decimal point to separate the whole number from its fractional part. A fraction, on the other hand, expresses a part of a whole using a numerator (top number) and a denominator (bottom number).

Converting 0.147 to a Fraction: A Step-by-Step Approach

1. Write the decimal as a fraction over 1:

   Our starting point is the decimal 0.147. To begin the conversion, we write it as a fraction with 1 as the denominator:

   0.147/1

2. Multiply the numerator and denominator by 1000:

   Since there are three digits after the decimal point, we multiply both the numerator and the denominator by 1000 (10 raised to the power of 3). This effectively moves the decimal point three places to the right:

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

3. Simplify the fraction (if possible):

   Now we need to see if we can simplify the fraction. We look for common factors between the numerator (147) and the denominator (1000). In this case, 147 is divisible by 3 and 7, and 1000 is divisible by 2 and 5. However, there are no common factors between 147 and 1000. Therefore, the fraction is already in its simplest form.

The Final Answer

Therefore, the decimal 0.147 is equivalent to the fraction 147/1000.

Tips for Converting Other Decimals to Fractions

The method outlined above can be applied to other decimals as well. Just remember these key points:

• Count the decimal places: The number of digits after the decimal point determines the power of 10 you'll use to multiply both the numerator and denominator.
• Simplify the fraction: Always check if the resulting fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. You can use online calculators or prime factorization to find the GCD.
• Practice: The more you practice, the more comfortable you'll become with decimal-to-fraction conversions.

This process ensures accuracy and efficiency when converting decimals into their fractional form. Mastering this skill will undoubtedly enhance your mathematical proficiency.