What is 1.60384 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 1.60384 into a fraction.

Answer: 1.60384 as a fraction equals 160384/100000 or 5012/3125

Here is the solution for converting 1.60384 to a fraction:

Step 1:

First, we write 1.60384 as  
1.60384/1

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!
1.60384/1
  =  
1.60384 x 100000/1 x 100000
  =  
160384/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 160384 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 160384 are: 1  2  4  7  8  14  16  28  32  56  64  112  128  179  224  358  448  716  896  1253  1432  2506  2864  5012  5728  10024  11456  20048  22912  40096  80192  160384 
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 160384 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.
160384/100000
  =  
160384 ÷ 32/100000 ÷ 32
  =  
5012/3125


Good work! We have just walked through the steps on how to represent 1.60384 as a fraction.

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