What is 1.28744 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 1.28744 into a fraction.

Answer: 1.28744 as a fraction equals 128744/100000 or 16093/12500

Here is the solution for converting 1.28744 to a fraction:

Step 1:

First, we write 1.28744 as  
1.28744/1

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!
1.28744/1
  =  
1.28744 x 100000/1 x 100000
  =  
128744/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 128744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 128744 are: 1  2  4  7  8  11  14  19  22  28  38  44  56  76  77  88  121  133  152  154  209  242  266  308  418  484  532  616  836  847  968  1064  1463  1672  1694  2299  2926  3388  4598  5852  6776  9196  11704  16093  18392  32186  64372  128744 
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 128744 and 100000 that gives us a GCF value of: 8

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.
128744/100000
  =  
128744 ÷ 8/100000 ÷ 8
  =  
16093/12500


Good work! We have just walked through the steps on how to represent 1.28744 as a fraction.

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