What is 2.01348 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 2.01348 into a fraction.

Answer: 2.01348 as a fraction equals 201348/100000 or 50337/25000

Here is the solution for converting 2.01348 to a fraction:

Step 1:

First, we write 2.01348 as  
2.01348/1

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!
2.01348/1
  =  
2.01348 x 100000/1 x 100000
  =  
201348/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 201348 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 201348 are: 1  2  3  4  6  7  9  12  14  17  18  21  28  34  36  42  47  51  63  68  84  94  102  119  126  141  153  188  204  238  252  282  306  329  357  423  476  564  612  658  714  799  846  987  1071  1316  1428  1598  1692  1974  2142  2397  2961  3196  3948  4284  4794  5593  5922  7191  9588  11186  11844  14382  16779  22372  28764  33558  50337  67116  100674  201348 
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 201348 and 100000 that gives us a GCF value of: 4

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.
201348/100000
  =  
201348 ÷ 4/100000 ÷ 4
  =  
50337/25000


Good work! We have just walked through the steps on how to represent 2.01348 as a fraction.

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