What is 2.35452 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 2.35452 into a fraction.

Answer: 2.35452 as a fraction equals 235452/100000 or 58863/25000

Here is the solution for converting 2.35452 to a fraction:

Step 1:

First, we write 2.35452 as  
2.35452/1

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!
2.35452/1
  =  
2.35452 x 100000/1 x 100000
  =  
235452/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 235452 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 235452 are: 1  2  3  4  6  7  12  14  21  28  42  84  2803  5606  8409  11212  16818  19621  33636  39242  58863  78484  117726  235452 
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 235452 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.
235452/100000
  =  
235452 ÷ 4/100000 ÷ 4
  =  
58863/25000


Good work! We have just walked through the steps on how to represent 2.35452 as a fraction.

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