What is 4.88268 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 4.88268 into a fraction.

Answer: 4.88268 as a fraction equals 488268/100000 or 122067/25000

Here is the solution for converting 4.88268 to a fraction:

Step 1:

First, we write 4.88268 as  
4.88268/1

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!
4.88268/1
  =  
4.88268 x 100000/1 x 100000
  =  
488268/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 488268 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 488268 are: 1  2  3  4  6  9  11  12  18  22  27  33  36  44  54  66  81  99  108  132  137  162  198  274  297  324  396  411  548  594  822  891  1188  1233  1507  1644  1782  2466  3014  3564  3699  4521  4932  6028  7398  9042  11097  13563  14796  18084  22194  27126  40689  44388  54252  81378  122067  162756  244134  488268 
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 488268 and 100000 that gives us a GCF value of: 4

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.
488268/100000
  =  
488268 ÷ 4/100000 ÷ 4
  =  
122067/25000


Good work! We have just walked through the steps on how to represent 4.88268 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net