What is 1.71612 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 1.71612 into a fraction.

Answer: 1.71612 as a fraction equals 171612/100000 or 42903/25000

Here is the solution for converting 1.71612 to a fraction:

Step 1:

First, we write 1.71612 as  
1.71612/1

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!
1.71612/1
  =  
1.71612 x 100000/1 x 100000
  =  
171612/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 171612 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 171612 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  54  63  84  108  126  189  227  252  378  454  681  756  908  1362  1589  2043  2724  3178  4086  4767  6129  6356  8172  9534  12258  14301  19068  24516  28602  42903  57204  85806  171612 
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 171612 and 100000 that gives us a GCF value of: 4

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.
171612/100000
  =  
171612 ÷ 4/100000 ÷ 4
  =  
42903/25000


Good work! We have just walked through the steps on how to represent 1.71612 as a fraction.

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