What is 5.18056 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 5.18056 into a fraction.

Answer: 5.18056 as a fraction equals 518056/100000 or 64757/12500

Here is the solution for converting 5.18056 to a fraction:

Step 1:

First, we write 5.18056 as  
5.18056/1

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!
5.18056/1
  =  
5.18056 x 100000/1 x 100000
  =  
518056/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 518056 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 518056 are: 1  2  4  7  8  11  14  22  28  29  44  56  58  77  88  116  154  203  232  308  319  406  616  638  812  841  1276  1624  1682  2233  2552  3364  4466  5887  6728  8932  9251  11774  17864  18502  23548  37004  47096  64757  74008  129514  259028  518056 
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 518056 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.
518056/100000
  =  
518056 ÷ 8/100000 ÷ 8
  =  
64757/12500


Good work! We have just walked through the steps on how to represent 5.18056 as a fraction.

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