What is 1.21244 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 1.21244 into a fraction.

Answer: 1.21244 as a fraction equals 121244/100000 or 30311/25000

Here is the solution for converting 1.21244 to a fraction:

Step 1:

First, we write 1.21244 as  
1.21244/1

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!
1.21244/1
  =  
1.21244 x 100000/1 x 100000
  =  
121244/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 121244 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 121244 are: 1  2  4  17  34  68  1783  3566  7132  30311  60622  121244 
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 121244 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.
121244/100000
  =  
121244 ÷ 4/100000 ÷ 4
  =  
30311/25000


Good work! We have just walked through the steps on how to represent 1.21244 as a fraction.

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