What is 1.20615 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 1.20615 into a fraction.

Answer: 1.20615 as a fraction equals 120615/100000 or 24123/20000

Here is the solution for converting 1.20615 to a fraction:

Step 1:

First, we write 1.20615 as  
1.20615/1

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!
1.20615/1
  =  
1.20615 x 100000/1 x 100000
  =  
120615/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 120615 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 120615 are: 1  3  5  11  15  17  33  43  51  55  85  129  165  187  215  255  473  561  645  731  935  1419  2193  2365  2805  3655  7095  8041  10965  24123  40205  120615 
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 120615 and 100000 that gives us a GCF value of: 5

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.
120615/100000
  =  
120615 ÷ 5/100000 ÷ 5
  =  
24123/20000


Good work! We have just walked through the steps on how to represent 1.20615 as a fraction.

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