What is 0.44352 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 0.44352 into a fraction.

Answer: 0.44352 as a fraction equals 44352/100000 or 1386/3125

Here is the solution for converting 0.44352 to a fraction:

Step 1:

First, we write 0.44352 as  
0.44352/1

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!
0.44352/1
  =  
0.44352 x 100000/1 x 100000
  =  
44352/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 44352 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 44352 are: 1  2  3  4  6  7  8  9  11  12  14  16  18  21  22  24  28  32  33  36  42  44  48  56  63  64  66  72  77  84  88  96  99  112  126  132  144  154  168  176  192  198  224  231  252  264  288  308  336  352  396  448  462  504  528  576  616  672  693  704  792  924  1008  1056  1232  1344  1386  1584  1848  2016  2112  2464  2772  3168  3696  4032  4928  5544  6336  7392  11088  14784  22176  44352 
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 44352 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.
44352/100000
  =  
44352 ÷ 32/100000 ÷ 32
  =  
1386/3125


Good work! We have just walked through the steps on how to represent 0.44352 as a fraction.

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