What is 0.40716 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 0.40716 into a fraction.

Answer: 0.40716 as a fraction equals 40716/100000 or 10179/25000

Here is the solution for converting 0.40716 to a fraction:

Step 1:

First, we write 0.40716 as  
0.40716/1

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!
0.40716/1
  =  
0.40716 x 100000/1 x 100000
  =  
40716/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 40716 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 40716 are: 1  2  3  4  6  9  12  13  18  26  27  29  36  39  52  54  58  78  87  108  116  117  156  174  234  261  348  351  377  468  522  702  754  783  1044  1131  1404  1508  1566  2262  3132  3393  4524  6786  10179  13572  20358  40716 
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 40716 and 100000 that gives us a GCF value of: 4

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.
40716/100000
  =  
40716 ÷ 4/100000 ÷ 4
  =  
10179/25000


Good work! We have just walked through the steps on how to represent 0.40716 as a fraction.

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