What is 5.88816 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 5.88816 into a fraction.

Answer: 5.88816 as a fraction equals 588816/100000 or 36801/6250

Here is the solution for converting 5.88816 to a fraction:

Step 1:

First, we write 5.88816 as  
5.88816/1

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!
5.88816/1
  =  
5.88816 x 100000/1 x 100000
  =  
588816/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 588816 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 588816 are: 1  2  3  4  6  8  9  12  16  18  24  27  29  36  47  48  54  58  72  87  94  108  116  141  144  174  188  216  232  261  282  348  376  423  432  464  522  564  696  752  783  846  1044  1128  1269  1363  1392  1566  1692  2088  2256  2538  2726  3132  3384  4089  4176  5076  5452  6264  6768  8178  10152  10904  12267  12528  16356  20304  21808  24534  32712  36801  49068  65424  73602  98136  147204  196272  294408  588816 
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 588816 and 100000 that gives us a GCF value of: 16

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.
588816/100000
  =  
588816 ÷ 16/100000 ÷ 16
  =  
36801/6250


Good work! We have just walked through the steps on how to represent 5.88816 as a fraction.

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