What is 1.25172 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 1.25172 into a fraction.

Answer: 1.25172 as a fraction equals 125172/100000 or 31293/25000

Here is the solution for converting 1.25172 to a fraction:

Step 1:

First, we write 1.25172 as  
1.25172/1

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!
1.25172/1
  =  
1.25172 x 100000/1 x 100000
  =  
125172/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 125172 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 125172 are: 1  2  3  4  6  9  12  18  19  27  36  38  54  57  61  76  108  114  122  171  183  228  244  342  366  513  549  684  732  1026  1098  1159  1647  2052  2196  2318  3294  3477  4636  6588  6954  10431  13908  20862  31293  41724  62586  125172 
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 125172 and 100000 that gives us a GCF value of: 4

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.
125172/100000
  =  
125172 ÷ 4/100000 ÷ 4
  =  
31293/25000


Good work! We have just walked through the steps on how to represent 1.25172 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net