What is 0.5140 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.5140 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 0.5140 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.

0.5140 as a fraction equals 5140/10000 or 257/500

Here’s a clear and detailed solution for converting 0.5140 to a fraction:

Step 1:

First, we write 0.5140 in fraction form:
0.5140/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.5140 x 10000/1 x 10000
  =  
5140/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 5140 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 5140 are: 1 2 4 5 10 20 257 514 1028 1285 2570 5140
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 5140 and 10000 is: 20.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is 20 in this case.
5140 ÷ 20/10000 ÷ 20
  =  
257/500


Nice job! We've successfully determined that 0.5140 as a fraction equals 5140/10000 or 257/500 in its simplest form.

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