What is 7.04808 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 7.04808 into a fraction.

Answer: 7.04808 as a fraction equals 704808/100000 or 88101/12500

Here is the solution for converting 7.04808 to a fraction:

Step 1:

First, we write 7.04808 as  
7.04808/1

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!
7.04808/1
  =  
7.04808 x 100000/1 x 100000
  =  
704808/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 704808 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 704808 are: 1  2  3  4  6  8  9  12  13  18  24  26  27  36  39  52  54  72  78  104  108  117  156  216  234  251  312  351  468  502  702  753  936  1004  1404  1506  2008  2259  2808  3012  3263  4518  6024  6526  6777  9036  9789  13052  13554  18072  19578  26104  27108  29367  39156  54216  58734  78312  88101  117468  176202  234936  352404  704808 
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 704808 and 100000 that gives us a GCF value of: 8

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.
704808/100000
  =  
704808 ÷ 8/100000 ÷ 8
  =  
88101/12500


Good work! We have just walked through the steps on how to represent 7.04808 as a fraction.

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