What is 7.16832 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 7.16832 into a fraction.

Answer: 7.16832 as a fraction equals 716832/100000 or 22401/3125

Here is the solution for converting 7.16832 to a fraction:

Step 1:

First, we write 7.16832 as  
7.16832/1

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!
7.16832/1
  =  
7.16832 x 100000/1 x 100000
  =  
716832/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 716832 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 716832 are: 1  2  3  4  6  8  9  12  16  18  19  24  32  36  38  48  57  72  76  96  114  131  144  152  171  228  262  288  304  342  393  456  524  608  684  786  912  1048  1179  1368  1572  1824  2096  2358  2489  2736  3144  4192  4716  4978  5472  6288  7467  9432  9956  12576  14934  18864  19912  22401  29868  37728  39824  44802  59736  79648  89604  119472  179208  238944  358416  716832 
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 716832 and 100000 that gives us a GCF value of: 32

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.
716832/100000
  =  
716832 ÷ 32/100000 ÷ 32
  =  
22401/3125


Good work! We have just walked through the steps on how to represent 7.16832 as a fraction.

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