What is 4.26496 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 4.26496 into a fraction.

Answer: 4.26496 as a fraction equals 426496/100000 or 13328/3125

Here is the solution for converting 4.26496 to a fraction:

Step 1:

First, we write 4.26496 as  
4.26496/1

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!
4.26496/1
  =  
4.26496 x 100000/1 x 100000
  =  
426496/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 426496 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 426496 are: 1  2  4  7  8  14  16  17  28  32  34  49  56  64  68  98  112  119  128  136  196  224  238  256  272  392  448  476  512  544  784  833  896  952  1088  1568  1666  1792  1904  2176  3136  3332  3584  3808  4352  6272  6664  7616  8704  12544  13328  15232  25088  26656  30464  53312  60928  106624  213248  426496 
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 426496 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.
426496/100000
  =  
426496 ÷ 32/100000 ÷ 32
  =  
13328/3125


Good work! We have just walked through the steps on how to represent 4.26496 as a fraction.

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