What is 1.25685 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 1.25685 into a fraction.

Answer: 1.25685 as a fraction equals 125685/100000 or 25137/20000

Here is the solution for converting 1.25685 to a fraction:

Step 1:

First, we write 1.25685 as  
1.25685/1

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!
1.25685/1
  =  
1.25685 x 100000/1 x 100000
  =  
125685/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 125685 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 125685 are: 1  3  5  7  9  15  19  21  27  35  45  49  57  63  95  105  133  135  147  171  189  245  285  315  399  441  513  665  735  855  931  945  1197  1323  1995  2205  2565  2793  3591  4655  5985  6615  8379  13965  17955  25137  41895  125685 
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 125685 and 100000 that gives us a GCF value of: 5

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.
125685/100000
  =  
125685 ÷ 5/100000 ÷ 5
  =  
25137/20000


Good work! We have just walked through the steps on how to represent 1.25685 as a fraction.

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