What is 2.02464 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 2.02464 into a fraction.

Answer: 2.02464 as a fraction equals 202464/100000 or 6327/3125

Here is the solution for converting 2.02464 to a fraction:

Step 1:

First, we write 2.02464 as  
2.02464/1

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!
2.02464/1
  =  
2.02464 x 100000/1 x 100000
  =  
202464/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 202464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 202464 are: 1  2  3  4  6  8  9  12  16  18  19  24  32  36  37  38  48  57  72  74  76  96  111  114  144  148  152  171  222  228  288  296  304  333  342  444  456  592  608  666  684  703  888  912  1184  1332  1368  1406  1776  1824  2109  2664  2736  2812  3552  4218  5328  5472  5624  6327  8436  10656  11248  12654  16872  22496  25308  33744  50616  67488  101232  202464 
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 202464 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.
202464/100000
  =  
202464 ÷ 32/100000 ÷ 32
  =  
6327/3125


Good work! We have just walked through the steps on how to represent 2.02464 as a fraction.

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