What is 7.11504 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 7.11504 into a fraction.

Answer: 7.11504 as a fraction equals 711504/100000 or 44469/6250

Here is the solution for converting 7.11504 to a fraction:

Step 1:

First, we write 7.11504 as  
7.11504/1

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!
7.11504/1
  =  
7.11504 x 100000/1 x 100000
  =  
711504/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 711504 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 711504 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  61  72  81  108  122  144  162  183  216  243  244  324  366  432  486  488  549  648  729  732  972  976  1098  1296  1458  1464  1647  1944  2196  2916  2928  3294  3888  4392  4941  5832  6588  8784  9882  11664  13176  14823  19764  26352  29646  39528  44469  59292  79056  88938  118584  177876  237168  355752  711504 
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 711504 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.
711504/100000
  =  
711504 ÷ 16/100000 ÷ 16
  =  
44469/6250


Good work! We have just walked through the steps on how to represent 7.11504 as a fraction.

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