What is 8.95455 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 8.95455 into a fraction.

Answer: 8.95455 as a fraction equals 895455/100000 or 179091/20000

Here is the solution for converting 8.95455 to a fraction:

Step 1:

First, we write 8.95455 as  
8.95455/1

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!
8.95455/1
  =  
8.95455 x 100000/1 x 100000
  =  
895455/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 895455 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 895455 are: 1  3  5  9  11  15  27  33  45  55  67  81  99  135  165  201  243  297  335  405  495  603  737  891  1005  1215  1485  1809  2211  2673  3015  3685  4455  5427  6633  9045  11055  13365  16281  19899  27135  33165  59697  81405  99495  179091  298485  895455 
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 895455 and 100000 that gives us a GCF value of: 5

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.
895455/100000
  =  
895455 ÷ 5/100000 ÷ 5
  =  
179091/20000


Good work! We have just walked through the steps on how to represent 8.95455 as a fraction.

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