What is 2.29425 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 2.29425 into a fraction.

Answer: 2.29425 as a fraction equals 229425/100000 or 9177/4000

Here is the solution for converting 2.29425 to a fraction:

Step 1:

First, we write 2.29425 as  
2.29425/1

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!
2.29425/1
  =  
2.29425 x 100000/1 x 100000
  =  
229425/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 229425 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 229425 are: 1  3  5  7  15  19  21  23  25  35  57  69  75  95  105  115  133  161  175  285  345  399  437  475  483  525  575  665  805  1311  1425  1725  1995  2185  2415  3059  3325  4025  6555  9177  9975  10925  12075  15295  32775  45885  76475  229425 
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 229425 and 100000 that gives us a GCF value of: 25

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.
229425/100000
  =  
229425 ÷ 25/100000 ÷ 25
  =  
9177/4000


Good work! We have just walked through the steps on how to represent 2.29425 as a fraction.

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