What is 3.17376 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 3.17376 into a fraction.

Answer: 3.17376 as a fraction equals 317376/100000 or 9918/3125

Here is the solution for converting 3.17376 to a fraction:

Step 1:

First, we write 3.17376 as  
3.17376/1

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!
3.17376/1
  =  
3.17376 x 100000/1 x 100000
  =  
317376/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 317376 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 317376 are: 1  2  3  4  6  8  9  12  16  18  19  24  29  32  36  38  48  57  58  64  72  76  87  96  114  116  144  152  171  174  192  228  232  261  288  304  342  348  456  464  522  551  576  608  684  696  912  928  1044  1102  1216  1368  1392  1653  1824  1856  2088  2204  2736  2784  3306  3648  4176  4408  4959  5472  5568  6612  8352  8816  9918  10944  13224  16704  17632  19836  26448  35264  39672  52896  79344  105792  158688  317376 
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 317376 and 100000 that gives us a GCF value of: 32

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.
317376/100000
  =  
317376 ÷ 32/100000 ÷ 32
  =  
9918/3125


Good work! We have just walked through the steps on how to represent 3.17376 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net