What is 0.52416 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 0.52416 into a fraction.

Answer: 0.52416 as a fraction equals 52416/100000 or 1638/3125

Here is the solution for converting 0.52416 to a fraction:

Step 1:

First, we write 0.52416 as  
0.52416/1

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!
0.52416/1
  =  
0.52416 x 100000/1 x 100000
  =  
52416/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 52416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 52416 are: 1  2  3  4  6  7  8  9  12  13  14  16  18  21  24  26  28  32  36  39  42  48  52  56  63  64  72  78  84  91  96  104  112  117  126  144  156  168  182  192  208  224  234  252  273  288  312  336  364  416  448  468  504  546  576  624  672  728  819  832  936  1008  1092  1248  1344  1456  1638  1872  2016  2184  2496  2912  3276  3744  4032  4368  5824  6552  7488  8736  13104  17472  26208  52416 
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 52416 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.
52416/100000
  =  
52416 ÷ 32/100000 ÷ 32
  =  
1638/3125


Good work! We have just walked through the steps on how to represent 0.52416 as a fraction.

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