What is 1.39374 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 1.39374 into a fraction.

Answer: 1.39374 as a fraction equals 139374/100000 or 69687/50000

Here is the solution for converting 1.39374 to a fraction:

Step 1:

First, we write 1.39374 as  
1.39374/1

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!
1.39374/1
  =  
1.39374 x 100000/1 x 100000
  =  
139374/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 139374 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 139374 are: 1  2  3  6  9  18  27  29  54  58  87  89  174  178  261  267  522  534  783  801  1566  1602  2403  2581  4806  5162  7743  15486  23229  46458  69687  139374 
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 139374 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.
139374/100000
  =  
139374 ÷ 2/100000 ÷ 2
  =  
69687/50000


Good work! We have just walked through the steps on how to represent 1.39374 as a fraction.

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