What is 0.94024 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 0.94024 into a fraction.

Answer: 0.94024 as a fraction equals 94024/100000 or 11753/12500

Here is the solution for converting 0.94024 to a fraction:

Step 1:

First, we write 0.94024 as  
0.94024/1

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!
0.94024/1
  =  
0.94024 x 100000/1 x 100000
  =  
94024/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 94024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 94024 are: 1  2  4  7  8  14  23  28  46  56  73  92  146  161  184  292  322  511  584  644  1022  1288  1679  2044  3358  4088  6716  11753  13432  23506  47012  94024 
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 94024 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.
94024/100000
  =  
94024 ÷ 8/100000 ÷ 8
  =  
11753/12500


Good work! We have just walked through the steps on how to represent 0.94024 as a fraction.

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