What is 1.53252 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 1.53252 into a fraction.

Answer: 1.53252 as a fraction equals 153252/100000 or 38313/25000

Here is the solution for converting 1.53252 to a fraction:

Step 1:

First, we write 1.53252 as  
1.53252/1

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!
1.53252/1
  =  
1.53252 x 100000/1 x 100000
  =  
153252/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 153252 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 153252 are: 1  2  3  4  6  9  11  12  18  22  27  33  36  43  44  54  66  81  86  99  108  129  132  162  172  198  258  297  324  387  396  473  516  594  774  891  946  1161  1188  1419  1548  1782  1892  2322  2838  3483  3564  4257  4644  5676  6966  8514  12771  13932  17028  25542  38313  51084  76626  153252 
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 153252 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.
153252/100000
  =  
153252 ÷ 4/100000 ÷ 4
  =  
38313/25000


Good work! We have just walked through the steps on how to represent 1.53252 as a fraction.

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