What is 2.41758 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 2.41758 into a fraction.

Answer: 2.41758 as a fraction equals 241758/100000 or 120879/50000

Here is the solution for converting 2.41758 to a fraction:

Step 1:

First, we write 2.41758 as  
2.41758/1

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!
2.41758/1
  =  
2.41758 x 100000/1 x 100000
  =  
241758/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 241758 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 241758 are: 1  2  3  6  9  11  18  22  27  33  37  54  66  74  99  111  121  198  222  242  297  333  363  407  594  666  726  814  999  1089  1221  1998  2178  2442  3267  3663  4477  6534  7326  8954  10989  13431  21978  26862  40293  80586  120879  241758 
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 241758 and 100000 that gives us a GCF value of: 2

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.
241758/100000
  =  
241758 ÷ 2/100000 ÷ 2
  =  
120879/50000


Good work! We have just walked through the steps on how to represent 2.41758 as a fraction.

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