What is 1.37808 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 1.37808 into a fraction.

Answer: 1.37808 as a fraction equals 137808/100000 or 8613/6250

Here is the solution for converting 1.37808 to a fraction:

Step 1:

First, we write 1.37808 as  
1.37808/1

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!
1.37808/1
  =  
1.37808 x 100000/1 x 100000
  =  
137808/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 137808 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 137808 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  27  29  33  36  44  48  54  58  66  72  87  88  99  108  116  132  144  174  176  198  216  232  261  264  297  319  348  396  432  464  522  528  594  638  696  783  792  957  1044  1188  1276  1392  1566  1584  1914  2088  2376  2552  2871  3132  3828  4176  4752  5104  5742  6264  7656  8613  11484  12528  15312  17226  22968  34452  45936  68904  137808 
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 137808 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.
137808/100000
  =  
137808 ÷ 16/100000 ÷ 16
  =  
8613/6250


Good work! We have just walked through the steps on how to represent 1.37808 as a fraction.

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