What is 2.01096 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 2.01096 into a fraction.

Answer: 2.01096 as a fraction equals 201096/100000 or 25137/12500

Here is the solution for converting 2.01096 to a fraction:

Step 1:

First, we write 2.01096 as  
2.01096/1

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!
2.01096/1
  =  
2.01096 x 100000/1 x 100000
  =  
201096/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 201096 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 201096 are: 1  2  3  4  6  7  8  9  12  14  18  19  21  24  27  28  36  38  42  49  54  56  57  63  72  76  84  98  108  114  126  133  147  152  168  171  189  196  216  228  252  266  294  342  378  392  399  441  456  504  513  532  588  684  756  798  882  931  1026  1064  1176  1197  1323  1368  1512  1596  1764  1862  2052  2394  2646  2793  3192  3528  3591  3724  4104  4788  5292  5586  7182  7448  8379  9576  10584  11172  14364  16758  22344  25137  28728  33516  50274  67032  100548  201096 
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 201096 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.
201096/100000
  =  
201096 ÷ 8/100000 ÷ 8
  =  
25137/12500


Good work! We have just walked through the steps on how to represent 2.01096 as a fraction.

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