What is 2.71575 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 2.71575 into a fraction.

Answer: 2.71575 as a fraction equals 271575/100000 or 10863/4000

Here is the solution for converting 2.71575 to a fraction:

Step 1:

First, we write 2.71575 as  
2.71575/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
2.71575/1
  =  
2.71575 x 100000/1 x 100000
  =  
271575/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 271575 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 271575 are: 1  3  5  9  15  17  25  45  51  71  75  85  153  213  225  255  355  425  639  765  1065  1207  1275  1775  3195  3621  3825  5325  6035  10863  15975  18105  30175  54315  90525  271575 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 271575 and 100000 that gives us a GCF value of: 25

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
271575/100000
  =  
271575 ÷ 25/100000 ÷ 25
  =  
10863/4000


Good work! We have just walked through the steps on how to represent 2.71575 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net