What is 2.35248 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 2.35248 into a fraction.

Answer: 2.35248 as a fraction equals 235248/100000 or 14703/6250

Here is the solution for converting 2.35248 to a fraction:

Step 1:

First, we write 2.35248 as  
2.35248/1

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!
2.35248/1
  =  
2.35248 x 100000/1 x 100000
  =  
235248/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 235248 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 235248 are: 1  2  3  4  6  8  12  13  16  24  26  29  39  48  52  58  78  87  104  116  156  169  174  208  232  312  338  348  377  464  507  624  676  696  754  1014  1131  1352  1392  1508  2028  2262  2704  3016  4056  4524  4901  6032  8112  9048  9802  14703  18096  19604  29406  39208  58812  78416  117624  235248 
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 235248 and 100000 that gives us a GCF value of: 16

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.
235248/100000
  =  
235248 ÷ 16/100000 ÷ 16
  =  
14703/6250


Good work! We have just walked through the steps on how to represent 2.35248 as a fraction.

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