What is 7.13592 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 7.13592 into a fraction.

Answer: 7.13592 as a fraction equals 713592/100000 or 89199/12500

Here is the solution for converting 7.13592 to a fraction:

Step 1:

First, we write 7.13592 as  
7.13592/1

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!
7.13592/1
  =  
7.13592 x 100000/1 x 100000
  =  
713592/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 713592 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 713592 are: 1  2  3  4  6  8  9  11  12  17  18  22  24  33  34  36  44  51  53  66  68  72  88  99  102  106  132  136  153  159  187  198  204  212  264  306  318  374  396  408  424  477  561  583  612  636  748  792  901  954  1122  1166  1224  1272  1496  1683  1749  1802  1908  2244  2332  2703  3366  3498  3604  3816  4488  4664  5247  5406  6732  6996  7208  8109  9911  10494  10812  13464  13992  16218  19822  20988  21624  29733  32436  39644  41976  59466  64872  79288  89199  118932  178398  237864  356796  713592 
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 713592 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.
713592/100000
  =  
713592 ÷ 8/100000 ÷ 8
  =  
89199/12500


Good work! We have just walked through the steps on how to represent 7.13592 as a fraction.

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