What is 2.72376 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 2.72376 into a fraction.

Answer: 2.72376 as a fraction equals 272376/100000 or 34047/12500

Here is the solution for converting 2.72376 to a fraction:

Step 1:

First, we write 2.72376 as  
2.72376/1

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!
2.72376/1
  =  
2.72376 x 100000/1 x 100000
  =  
272376/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 272376 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 272376 are: 1  2  3  4  6  8  9  12  13  18  24  26  27  36  39  52  54  72  78  97  104  108  117  156  194  216  234  291  312  351  388  468  582  702  776  873  936  1164  1261  1404  1746  2328  2522  2619  2808  3492  3783  5044  5238  6984  7566  10088  10476  11349  15132  20952  22698  30264  34047  45396  68094  90792  136188  272376 
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 272376 and 100000 that gives us a GCF value of: 8

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.
272376/100000
  =  
272376 ÷ 8/100000 ÷ 8
  =  
34047/12500


Good work! We have just walked through the steps on how to represent 2.72376 as a fraction.

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