What is 1.64016 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 1.64016 into a fraction.

Answer: 1.64016 as a fraction equals 164016/100000 or 10251/6250

Here is the solution for converting 1.64016 to a fraction:

Step 1:

First, we write 1.64016 as  
1.64016/1

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!
1.64016/1
  =  
1.64016 x 100000/1 x 100000
  =  
164016/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 164016 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 164016 are: 1  2  3  4  6  8  9  12  16  17  18  24  34  36  48  51  67  68  72  102  134  136  144  153  201  204  268  272  306  402  408  536  603  612  804  816  1072  1139  1206  1224  1608  2278  2412  2448  3216  3417  4556  4824  6834  9112  9648  10251  13668  18224  20502  27336  41004  54672  82008  164016 
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 164016 and 100000 that gives us a GCF value of: 16

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.
164016/100000
  =  
164016 ÷ 16/100000 ÷ 16
  =  
10251/6250


Good work! We have just walked through the steps on how to represent 1.64016 as a fraction.

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