What is 8.79048 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 8.79048 into a fraction.

Answer: 8.79048 as a fraction equals 879048/100000 or 109881/12500

Here is the solution for converting 8.79048 to a fraction:

Step 1:

First, we write 8.79048 as  
8.79048/1

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!
8.79048/1
  =  
8.79048 x 100000/1 x 100000
  =  
879048/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 879048 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 879048 are: 1  2  3  4  6  8  9  12  18  24  29  36  58  72  87  116  174  232  261  348  421  522  696  842  1044  1263  1684  2088  2526  3368  3789  5052  7578  10104  12209  15156  24418  30312  36627  48836  73254  97672  109881  146508  219762  293016  439524  879048 
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 879048 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.
879048/100000
  =  
879048 ÷ 8/100000 ÷ 8
  =  
109881/12500


Good work! We have just walked through the steps on how to represent 8.79048 as a fraction.

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