What is 1.20582 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 1.20582 into a fraction.

Answer: 1.20582 as a fraction equals 120582/100000 or 60291/50000

Here is the solution for converting 1.20582 to a fraction:

Step 1:

First, we write 1.20582 as  
1.20582/1

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!
1.20582/1
  =  
1.20582 x 100000/1 x 100000
  =  
120582/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 120582 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 120582 are: 1  2  3  6  7  9  11  14  18  21  22  27  29  33  42  54  58  63  66  77  87  99  126  154  174  189  198  203  231  261  297  319  378  406  462  522  594  609  638  693  783  957  1218  1386  1566  1827  1914  2079  2233  2871  3654  4158  4466  5481  5742  6699  8613  10962  13398  17226  20097  40194  60291  120582 
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 120582 and 100000 that gives us a GCF value of: 2

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.
120582/100000
  =  
120582 ÷ 2/100000 ÷ 2
  =  
60291/50000


Good work! We have just walked through the steps on how to represent 1.20582 as a fraction.

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