What is 4.68342 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 4.68342 into a fraction.

Answer: 4.68342 as a fraction equals 468342/100000 or 234171/50000

Here is the solution for converting 4.68342 to a fraction:

Step 1:

First, we write 4.68342 as  
4.68342/1

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!
4.68342/1
  =  
4.68342 x 100000/1 x 100000
  =  
468342/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 468342 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 468342 are: 1  2  3  6  7  9  14  18  21  27  42  49  54  59  63  81  98  118  126  147  162  177  189  294  354  378  413  441  531  567  826  882  1062  1134  1239  1323  1593  2478  2646  2891  3186  3717  3969  4779  5782  7434  7938  8673  9558  11151  17346  22302  26019  33453  52038  66906  78057  156114  234171  468342 
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 468342 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.
468342/100000
  =  
468342 ÷ 2/100000 ÷ 2
  =  
234171/50000


Good work! We have just walked through the steps on how to represent 4.68342 as a fraction.

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