What is 1.19952 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 1.19952 into a fraction.

Answer: 1.19952 as a fraction equals 119952/100000 or 7497/6250

Here is the solution for converting 1.19952 to a fraction:

Step 1:

First, we write 1.19952 as  
1.19952/1

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!
1.19952/1
  =  
1.19952 x 100000/1 x 100000
  =  
119952/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 119952 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 119952 are: 1  2  3  4  6  7  8  9  12  14  16  17  18  21  24  28  34  36  42  48  49  51  56  63  68  72  84  98  102  112  119  126  136  144  147  153  168  196  204  238  252  272  294  306  336  357  392  408  441  476  504  588  612  714  784  816  833  882  952  1008  1071  1176  1224  1428  1666  1764  1904  2142  2352  2448  2499  2856  3332  3528  4284  4998  5712  6664  7056  7497  8568  9996  13328  14994  17136  19992  29988  39984  59976  119952 
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 119952 and 100000 that gives us a GCF value of: 16

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.
119952/100000
  =  
119952 ÷ 16/100000 ÷ 16
  =  
7497/6250


Good work! We have just walked through the steps on how to represent 1.19952 as a fraction.

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