What is 9.62136 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 9.62136 into a fraction.

Answer: 9.62136 as a fraction equals 962136/100000 or 120267/12500

Here is the solution for converting 9.62136 to a fraction:

Step 1:

First, we write 9.62136 as  
9.62136/1

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!
9.62136/1
  =  
9.62136 x 100000/1 x 100000
  =  
962136/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 962136 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 962136 are: 1  2  3  4  6  7  8  9  12  14  18  21  23  24  28  36  42  46  56  63  69  72  83  84  92  126  138  161  166  168  184  207  249  252  276  322  332  414  483  498  504  552  581  644  664  747  828  966  996  1162  1288  1449  1494  1656  1743  1909  1932  1992  2324  2898  2988  3486  3818  3864  4648  5229  5727  5796  5976  6972  7636  10458  11454  11592  13363  13944  15272  17181  20916  22908  26726  34362  40089  41832  45816  53452  68724  80178  106904  120267  137448  160356  240534  320712  481068  962136 
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 962136 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.
962136/100000
  =  
962136 ÷ 8/100000 ÷ 8
  =  
120267/12500


Good work! We have just walked through the steps on how to represent 9.62136 as a fraction.

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