What is 1.25496 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 1.25496 into a fraction.

Answer: 1.25496 as a fraction equals 125496/100000 or 15687/12500

Here is the solution for converting 1.25496 to a fraction:

Step 1:

First, we write 1.25496 as  
1.25496/1

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!
1.25496/1
  =  
1.25496 x 100000/1 x 100000
  =  
125496/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 125496 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 125496 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  27  28  36  42  54  56  63  72  83  84  108  126  166  168  189  216  249  252  332  378  498  504  581  664  747  756  996  1162  1494  1512  1743  1992  2241  2324  2988  3486  4482  4648  5229  5976  6972  8964  10458  13944  15687  17928  20916  31374  41832  62748  125496 
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 125496 and 100000 that gives us a GCF value of: 8

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.
125496/100000
  =  
125496 ÷ 8/100000 ÷ 8
  =  
15687/12500


Good work! We have just walked through the steps on how to represent 1.25496 as a fraction.

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