What is 3.19748 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 3.19748 into a fraction.

Answer: 3.19748 as a fraction equals 319748/100000 or 79937/25000

Here is the solution for converting 3.19748 to a fraction:

Step 1:

First, we write 3.19748 as  
3.19748/1

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!
3.19748/1
  =  
3.19748 x 100000/1 x 100000
  =  
319748/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 319748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 319748 are: 1  2  4  11  13  22  26  43  44  52  86  143  169  172  286  338  473  559  572  676  946  1118  1859  1892  2236  3718  6149  7267  7436  12298  14534  24596  29068  79937  159874  319748 
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 319748 and 100000 that gives us a GCF value of: 4

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.
319748/100000
  =  
319748 ÷ 4/100000 ÷ 4
  =  
79937/25000


Good work! We have just walked through the steps on how to represent 3.19748 as a fraction.

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