In this article, we will guide you step by step through the process of converting the decimal 2.56 into a fraction. We will start by understanding how decimals represent parts of a whole, then break down the steps to rewrite them as fractions. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the result is in its simplest form.
By the end of this guide, you will have a strong understanding of decimal-to-fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.
Step 1:
First, we write 2.56 as:Step 2:
Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.Step 3:
Next, we find the Greatest Common Factor (GCF) for 256 and 100.Step 4:
To simplify the fraction, we divide both the numerator and denominator by the GCF.Discover how different decimal numbers can be expressed as fractions.
Practice makes perfect! Gain experience converting decimals into fractions with these examples: