What is 1.42884 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 1.42884 into a fraction.

Answer: 1.42884 as a fraction equals 142884/100000 or 35721/25000

Here is the solution for converting 1.42884 to a fraction:

Step 1:

First, we write 1.42884 as  
1.42884/1

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!
1.42884/1
  =  
1.42884 x 100000/1 x 100000
  =  
142884/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 142884 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 142884 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  49  54  63  81  84  98  108  126  147  162  189  196  243  252  294  324  378  441  486  567  588  729  756  882  972  1134  1323  1458  1701  1764  2268  2646  2916  3402  3969  5103  5292  6804  7938  10206  11907  15876  20412  23814  35721  47628  71442  142884 
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 142884 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.
142884/100000
  =  
142884 ÷ 4/100000 ÷ 4
  =  
35721/25000


Good work! We have just walked through the steps on how to represent 1.42884 as a fraction.

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