What is 1.37904 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 1.37904 into a fraction.

Answer: 1.37904 as a fraction equals 137904/100000 or 8619/6250

Here is the solution for converting 1.37904 to a fraction:

Step 1:

First, we write 1.37904 as  
1.37904/1

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!
1.37904/1
  =  
1.37904 x 100000/1 x 100000
  =  
137904/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 137904 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 137904 are: 1  2  3  4  6  8  12  13  16  17  24  26  34  39  48  51  52  68  78  102  104  136  156  169  204  208  221  272  312  338  408  442  507  624  663  676  816  884  1014  1326  1352  1768  2028  2652  2704  2873  3536  4056  5304  5746  8112  8619  10608  11492  17238  22984  34476  45968  68952  137904 
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 137904 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.
137904/100000
  =  
137904 ÷ 16/100000 ÷ 16
  =  
8619/6250


Good work! We have just walked through the steps on how to represent 1.37904 as a fraction.

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