What is 1.74168 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 1.74168 into a fraction.

Answer: 1.74168 as a fraction equals 174168/100000 or 21771/12500

Here is the solution for converting 1.74168 to a fraction:

Step 1:

First, we write 1.74168 as  
1.74168/1

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!
1.74168/1
  =  
1.74168 x 100000/1 x 100000
  =  
174168/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 174168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 174168 are: 1  2  3  4  6  8  9  12  18  24  36  41  59  72  82  118  123  164  177  236  246  328  354  369  472  492  531  708  738  984  1062  1416  1476  2124  2419  2952  4248  4838  7257  9676  14514  19352  21771  29028  43542  58056  87084  174168 
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 174168 and 100000 that gives us a GCF value of: 8

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.
174168/100000
  =  
174168 ÷ 8/100000 ÷ 8
  =  
21771/12500


Good work! We have just walked through the steps on how to represent 1.74168 as a fraction.

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