What is 2.30688 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 2.30688 into a fraction.

Answer: 2.30688 as a fraction equals 230688/100000 or 7209/3125

Here is the solution for converting 2.30688 to a fraction:

Step 1:

First, we write 2.30688 as  
2.30688/1

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!
2.30688/1
  =  
2.30688 x 100000/1 x 100000
  =  
230688/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 230688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 230688 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  72  81  89  96  108  144  162  178  216  267  288  324  356  432  534  648  712  801  864  1068  1296  1424  1602  2136  2403  2592  2848  3204  4272  4806  6408  7209  8544  9612  12816  14418  19224  25632  28836  38448  57672  76896  115344  230688 
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 230688 and 100000 that gives us a GCF value of: 32

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.
230688/100000
  =  
230688 ÷ 32/100000 ÷ 32
  =  
7209/3125


Good work! We have just walked through the steps on how to represent 2.30688 as a fraction.

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