What is 1.28448 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 1.28448 into a fraction.

Answer: 1.28448 as a fraction equals 128448/100000 or 4014/3125

Here is the solution for converting 1.28448 to a fraction:

Step 1:

First, we write 1.28448 as  
1.28448/1

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!
1.28448/1
  =  
1.28448 x 100000/1 x 100000
  =  
128448/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 128448 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 128448 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  96  144  192  223  288  446  576  669  892  1338  1784  2007  2676  3568  4014  5352  7136  8028  10704  14272  16056  21408  32112  42816  64224  128448 
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 128448 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.
128448/100000
  =  
128448 ÷ 32/100000 ÷ 32
  =  
4014/3125


Good work! We have just walked through the steps on how to represent 1.28448 as a fraction.

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