What is 1.40868 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 1.40868 into a fraction.

Answer: 1.40868 as a fraction equals 140868/100000 or 35217/25000

Here is the solution for converting 1.40868 to a fraction:

Step 1:

First, we write 1.40868 as  
1.40868/1

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!
1.40868/1
  =  
1.40868 x 100000/1 x 100000
  =  
140868/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 140868 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 140868 are: 1  2  3  4  6  7  9  12  13  14  18  21  26  28  36  39  42  43  52  63  78  84  86  91  117  126  129  156  172  182  234  252  258  273  301  364  387  468  516  546  559  602  774  819  903  1092  1118  1204  1548  1638  1677  1806  2236  2709  3276  3354  3612  3913  5031  5418  6708  7826  10062  10836  11739  15652  20124  23478  35217  46956  70434  140868 
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 140868 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.
140868/100000
  =  
140868 ÷ 4/100000 ÷ 4
  =  
35217/25000


Good work! We have just walked through the steps on how to represent 1.40868 as a fraction.

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