What is 2.30748 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 2.30748 into a fraction.

Answer: 2.30748 as a fraction equals 230748/100000 or 57687/25000

Here is the solution for converting 2.30748 to a fraction:

Step 1:

First, we write 2.30748 as  
2.30748/1

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!
2.30748/1
  =  
2.30748 x 100000/1 x 100000
  =  
230748/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 230748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 230748 are: 1  2  3  4  6  7  12  14  21  28  41  42  67  82  84  123  134  164  201  246  268  287  402  469  492  574  804  861  938  1148  1407  1722  1876  2747  2814  3444  5494  5628  8241  10988  16482  19229  32964  38458  57687  76916  115374  230748 
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 230748 and 100000 that gives us a GCF value of: 4

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.
230748/100000
  =  
230748 ÷ 4/100000 ÷ 4
  =  
57687/25000


Good work! We have just walked through the steps on how to represent 2.30748 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net