What is 1.25775 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 1.25775 into a fraction.

Answer: 1.25775 as a fraction equals 125775/100000 or 5031/4000

Here is the solution for converting 1.25775 to a fraction:

Step 1:

First, we write 1.25775 as  
1.25775/1

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!
1.25775/1
  =  
1.25775 x 100000/1 x 100000
  =  
125775/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 125775 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 125775 are: 1  3  5  9  13  15  25  39  43  45  65  75  117  129  195  215  225  325  387  559  585  645  975  1075  1677  1935  2795  2925  3225  5031  8385  9675  13975  25155  41925  125775 
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 125775 and 100000 that gives us a GCF value of: 25

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.
125775/100000
  =  
125775 ÷ 25/100000 ÷ 25
  =  
5031/4000


Good work! We have just walked through the steps on how to represent 1.25775 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