What is 2.45024 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 2.45024 into a fraction.

Answer: 2.45024 as a fraction equals 245024/100000 or 7657/3125

Here is the solution for converting 2.45024 to a fraction:

Step 1:

First, we write 2.45024 as  
2.45024/1

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!
2.45024/1
  =  
2.45024 x 100000/1 x 100000
  =  
245024/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 245024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 245024 are: 1  2  4  8  13  16  19  26  31  32  38  52  62  76  104  124  152  208  247  248  304  403  416  494  496  589  608  806  988  992  1178  1612  1976  2356  3224  3952  4712  6448  7657  7904  9424  12896  15314  18848  30628  61256  122512  245024 
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 245024 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.
245024/100000
  =  
245024 ÷ 32/100000 ÷ 32
  =  
7657/3125


Good work! We have just walked through the steps on how to represent 2.45024 as a fraction.

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