What is 1.64352 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 1.64352 into a fraction.

Answer: 1.64352 as a fraction equals 164352/100000 or 5136/3125

Here is the solution for converting 1.64352 to a fraction:

Step 1:

First, we write 1.64352 as  
1.64352/1

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!
1.64352/1
  =  
1.64352 x 100000/1 x 100000
  =  
164352/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 164352 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 164352 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  107  128  192  214  256  321  384  428  512  642  768  856  1284  1536  1712  2568  3424  5136  6848  10272  13696  20544  27392  41088  54784  82176  164352 
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 164352 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.
164352/100000
  =  
164352 ÷ 32/100000 ÷ 32
  =  
5136/3125


Good work! We have just walked through the steps on how to represent 1.64352 as a fraction.

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