What is 0.95472 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 0.95472 into a fraction.

Answer: 0.95472 as a fraction equals 95472/100000 or 5967/6250

Here is the solution for converting 0.95472 to a fraction:

Step 1:

First, we write 0.95472 as  
0.95472/1

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!
0.95472/1
  =  
0.95472 x 100000/1 x 100000
  =  
95472/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 95472 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 95472 are: 1  2  3  4  6  8  9  12  13  16  17  18  24  26  27  34  36  39  48  51  52  54  68  72  78  102  104  108  117  136  144  153  156  204  208  216  221  234  272  306  312  351  408  432  442  459  468  612  624  663  702  816  884  918  936  1224  1326  1404  1768  1836  1872  1989  2448  2652  2808  3536  3672  3978  5304  5616  5967  7344  7956  10608  11934  15912  23868  31824  47736  95472 
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 95472 and 100000 that gives us a GCF value of: 16

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.
95472/100000
  =  
95472 ÷ 16/100000 ÷ 16
  =  
5967/6250


Good work! We have just walked through the steps on how to represent 0.95472 as a fraction.

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