What is 1.71304 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 1.71304 into a fraction.

Answer: 1.71304 as a fraction equals 171304/100000 or 21413/12500

Here is the solution for converting 1.71304 to a fraction:

Step 1:

First, we write 1.71304 as  
1.71304/1

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!
1.71304/1
  =  
1.71304 x 100000/1 x 100000
  =  
171304/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 171304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 171304 are: 1  2  4  7  8  14  19  23  28  38  46  49  56  76  92  98  133  152  161  184  196  266  322  392  437  532  644  874  931  1064  1127  1288  1748  1862  2254  3059  3496  3724  4508  6118  7448  9016  12236  21413  24472  42826  85652  171304 
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 171304 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.
171304/100000
  =  
171304 ÷ 8/100000 ÷ 8
  =  
21413/12500


Good work! We have just walked through the steps on how to represent 1.71304 as a fraction.

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