What is 0.53352 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 0.53352 into a fraction.

Answer: 0.53352 as a fraction equals 53352/100000 or 6669/12500

Here is the solution for converting 0.53352 to a fraction:

Step 1:

First, we write 0.53352 as  
0.53352/1

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!
0.53352/1
  =  
0.53352 x 100000/1 x 100000
  =  
53352/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 53352 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 53352 are: 1  2  3  4  6  8  9  12  13  18  19  24  26  27  36  38  39  52  54  57  72  76  78  104  108  114  117  152  156  171  216  228  234  247  312  342  351  456  468  494  513  684  702  741  936  988  1026  1368  1404  1482  1976  2052  2223  2808  2964  4104  4446  5928  6669  8892  13338  17784  26676  53352 
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 53352 and 100000 that gives us a GCF value of: 8

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.
53352/100000
  =  
53352 ÷ 8/100000 ÷ 8
  =  
6669/12500


Good work! We have just walked through the steps on how to represent 0.53352 as a fraction.

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