What is 1.71456 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 1.71456 into a fraction.

Answer: 1.71456 as a fraction equals 171456/100000 or 5358/3125

Here is the solution for converting 1.71456 to a fraction:

Step 1:

First, we write 1.71456 as  
1.71456/1

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!
1.71456/1
  =  
1.71456 x 100000/1 x 100000
  =  
171456/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 171456 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 171456 are: 1  2  3  4  6  8  12  16  19  24  32  38  47  48  57  64  76  94  96  114  141  152  188  192  228  282  304  376  456  564  608  752  893  912  1128  1216  1504  1786  1824  2256  2679  3008  3572  3648  4512  5358  7144  9024  10716  14288  21432  28576  42864  57152  85728  171456 
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 171456 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.
171456/100000
  =  
171456 ÷ 32/100000 ÷ 32
  =  
5358/3125


Good work! We have just walked through the steps on how to represent 1.71456 as a fraction.

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