What is 1.02384 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 1.02384 into a fraction.

Answer: 1.02384 as a fraction equals 102384/100000 or 6399/6250

Here is the solution for converting 1.02384 to a fraction:

Step 1:

First, we write 1.02384 as  
1.02384/1

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!
1.02384/1
  =  
1.02384 x 100000/1 x 100000
  =  
102384/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 102384 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 102384 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  79  81  108  144  158  162  216  237  316  324  432  474  632  648  711  948  1264  1296  1422  1896  2133  2844  3792  4266  5688  6399  8532  11376  12798  17064  25596  34128  51192  102384 
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 102384 and 100000 that gives us a GCF value of: 16

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.
102384/100000
  =  
102384 ÷ 16/100000 ÷ 16
  =  
6399/6250


Good work! We have just walked through the steps on how to represent 1.02384 as a fraction.

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