What is 1.73184 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 1.73184 into a fraction.

Answer: 1.73184 as a fraction equals 173184/100000 or 5412/3125

Here is the solution for converting 1.73184 to a fraction:

Step 1:

First, we write 1.73184 as  
1.73184/1

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!
1.73184/1
  =  
1.73184 x 100000/1 x 100000
  =  
173184/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 173184 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 173184 are: 1  2  3  4  6  8  11  12  16  22  24  32  33  41  44  48  64  66  82  88  96  123  128  132  164  176  192  246  264  328  352  384  451  492  528  656  704  902  984  1056  1312  1353  1408  1804  1968  2112  2624  2706  3608  3936  4224  5248  5412  7216  7872  10824  14432  15744  21648  28864  43296  57728  86592  173184 
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 173184 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.
173184/100000
  =  
173184 ÷ 32/100000 ÷ 32
  =  
5412/3125


Good work! We have just walked through the steps on how to represent 1.73184 as a fraction.

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