What is 1.23984 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 1.23984 into a fraction.

Answer: 1.23984 as a fraction equals 123984/100000 or 7749/6250

Here is the solution for converting 1.23984 to a fraction:

Step 1:

First, we write 1.23984 as  
1.23984/1

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!
1.23984/1
  =  
1.23984 x 100000/1 x 100000
  =  
123984/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 123984 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 123984 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  36  41  42  48  54  56  63  72  82  84  108  112  123  126  144  164  168  189  216  246  252  287  328  336  369  378  432  492  504  574  656  738  756  861  984  1008  1107  1148  1476  1512  1722  1968  2214  2296  2583  2952  3024  3444  4428  4592  5166  5904  6888  7749  8856  10332  13776  15498  17712  20664  30996  41328  61992  123984 
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 123984 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.
123984/100000
  =  
123984 ÷ 16/100000 ÷ 16
  =  
7749/6250


Good work! We have just walked through the steps on how to represent 1.23984 as a fraction.

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