What is 1.74048 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 1.74048 into a fraction.

Answer: 1.74048 as a fraction equals 174048/100000 or 5439/3125

Here is the solution for converting 1.74048 to a fraction:

Step 1:

First, we write 1.74048 as  
1.74048/1

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!
1.74048/1
  =  
1.74048 x 100000/1 x 100000
  =  
174048/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 174048 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 174048 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  37  42  48  49  56  74  84  96  98  111  112  147  148  168  196  222  224  259  294  296  336  392  444  518  588  592  672  777  784  888  1036  1176  1184  1554  1568  1776  1813  2072  2352  3108  3552  3626  4144  4704  5439  6216  7252  8288  10878  12432  14504  21756  24864  29008  43512  58016  87024  174048 
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 174048 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.
174048/100000
  =  
174048 ÷ 32/100000 ÷ 32
  =  
5439/3125


Good work! We have just walked through the steps on how to represent 1.74048 as a fraction.

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