What is 2.72832 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 2.72832 into a fraction.

Answer: 2.72832 as a fraction equals 272832/100000 or 8526/3125

Here is the solution for converting 2.72832 to a fraction:

Step 1:

First, we write 2.72832 as  
2.72832/1

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!
2.72832/1
  =  
2.72832 x 100000/1 x 100000
  =  
272832/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 272832 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 272832 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  29  32  42  48  49  56  58  64  84  87  96  98  112  116  147  168  174  192  196  203  224  232  294  336  348  392  406  448  464  588  609  672  696  784  812  928  1176  1218  1344  1392  1421  1568  1624  1856  2352  2436  2784  2842  3136  3248  4263  4704  4872  5568  5684  6496  8526  9408  9744  11368  12992  17052  19488  22736  34104  38976  45472  68208  90944  136416  272832 
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 272832 and 100000 that gives us a GCF value of: 32

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.
272832/100000
  =  
272832 ÷ 32/100000 ÷ 32
  =  
8526/3125


Good work! We have just walked through the steps on how to represent 2.72832 as a fraction.

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