What is 0.87048 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 0.87048 into a fraction.

Answer: 0.87048 as a fraction equals 87048/100000 or 10881/12500

Here is the solution for converting 0.87048 to a fraction:

Step 1:

First, we write 0.87048 as  
0.87048/1

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!
0.87048/1
  =  
0.87048 x 100000/1 x 100000
  =  
87048/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 87048 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 87048 are: 1  2  3  4  6  8  9  12  13  18  24  26  27  31  36  39  52  54  62  72  78  93  104  108  117  124  156  186  216  234  248  279  312  351  372  403  468  558  702  744  806  837  936  1116  1209  1404  1612  1674  2232  2418  2808  3224  3348  3627  4836  6696  7254  9672  10881  14508  21762  29016  43524  87048 
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 87048 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.
87048/100000
  =  
87048 ÷ 8/100000 ÷ 8
  =  
10881/12500


Good work! We have just walked through the steps on how to represent 0.87048 as a fraction.

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