What is 2.56 as a fraction?

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.

2.56 as a fraction equals 256/100 or 64/25

Here’s a clear and detailed solution for converting 2.56 to a fraction:

Step 1:

First, we write 2.56 as:
2.56/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.56 x 100/1 x 100
  =  
256/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 256 and 100.
The factors of 256 are: 1 2 4 8 16 32 64 128 256
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 256 and 100 is: 4.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by the GCF.
256 ÷ 4/100 ÷ 4
  =  
64/25


Nice job! We've successfully determined that 2.56 as a fraction equals 256/100 or 64/25 in its simplest form.

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