What is 3.71616 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 3.71616 into a fraction.

Answer: 3.71616 as a fraction equals 371616/100000 or 11613/3125

Here is the solution for converting 3.71616 to a fraction:

Step 1:

First, we write 3.71616 as  
3.71616/1

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!
3.71616/1
  =  
3.71616 x 100000/1 x 100000
  =  
371616/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 371616 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 371616 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  49  56  79  84  96  98  112  147  158  168  196  224  237  294  316  336  392  474  553  588  632  672  784  948  1106  1176  1264  1568  1659  1896  2212  2352  2528  3318  3792  3871  4424  4704  6636  7584  7742  8848  11613  13272  15484  17696  23226  26544  30968  46452  53088  61936  92904  123872  185808  371616 
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 371616 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.
371616/100000
  =  
371616 ÷ 32/100000 ÷ 32
  =  
11613/3125


Good work! We have just walked through the steps on how to represent 3.71616 as a fraction.

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