What is 4.27488 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 4.27488 into a fraction.

Answer: 4.27488 as a fraction equals 427488/100000 or 13359/3125

Here is the solution for converting 4.27488 to a fraction:

Step 1:

First, we write 4.27488 as  
4.27488/1

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!
4.27488/1
  =  
4.27488 x 100000/1 x 100000
  =  
427488/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 427488 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 427488 are: 1  2  3  4  6  8  12  16  24  32  48  61  73  96  122  146  183  219  244  292  366  438  488  584  732  876  976  1168  1464  1752  1952  2336  2928  3504  4453  5856  7008  8906  13359  17812  26718  35624  53436  71248  106872  142496  213744  427488 
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 427488 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.
427488/100000
  =  
427488 ÷ 32/100000 ÷ 32
  =  
13359/3125


Good work! We have just walked through the steps on how to represent 4.27488 as a fraction.

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