What is 0.94752 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 0.94752 into a fraction.

Answer: 0.94752 as a fraction equals 94752/100000 or 2961/3125

Here is the solution for converting 0.94752 to a fraction:

Step 1:

First, we write 0.94752 as  
0.94752/1

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!
0.94752/1
  =  
0.94752 x 100000/1 x 100000
  =  
94752/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 94752 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 94752 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  32  36  42  47  48  56  63  72  84  94  96  112  126  141  144  168  188  224  252  282  288  329  336  376  423  504  564  658  672  752  846  987  1008  1128  1316  1504  1692  1974  2016  2256  2632  2961  3384  3948  4512  5264  5922  6768  7896  10528  11844  13536  15792  23688  31584  47376  94752 
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 94752 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.
94752/100000
  =  
94752 ÷ 32/100000 ÷ 32
  =  
2961/3125


Good work! We have just walked through the steps on how to represent 0.94752 as a fraction.

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