What is 1.44672 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 1.44672 into a fraction.

Answer: 1.44672 as a fraction equals 144672/100000 or 4521/3125

Here is the solution for converting 1.44672 to a fraction:

Step 1:

First, we write 1.44672 as  
1.44672/1

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!
1.44672/1
  =  
1.44672 x 100000/1 x 100000
  =  
144672/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 144672 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 144672 are: 1  2  3  4  6  8  11  12  16  22  24  32  33  44  48  66  88  96  132  137  176  264  274  352  411  528  548  822  1056  1096  1507  1644  2192  3014  3288  4384  4521  6028  6576  9042  12056  13152  18084  24112  36168  48224  72336  144672 
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 144672 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.
144672/100000
  =  
144672 ÷ 32/100000 ÷ 32
  =  
4521/3125


Good work! We have just walked through the steps on how to represent 1.44672 as a fraction.

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