What is 2.58 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.58 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 2.58 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

2.58 as a fraction equals 258/100 or 129/50

Here’s a clear and detailed solution for converting 2.58 to a fraction:

Step 1:

First, we write 2.58 in fraction form:
2.58/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.58 x 100/1 x 100
  =  
258/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 258 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 258 are: 1 2 3 6 43 86 129 258
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 258 and 100 is: 2.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is 2 in this case.
258 ÷ 2/100 ÷ 2
  =  
129/50


Nice job! We've successfully determined that 2.58 as a fraction equals 258/100 or 129/50 in its simplest form.

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