What is 1.85232 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 1.85232 into a fraction.

Answer: 1.85232 as a fraction equals 185232/100000 or 11577/6250

Here is the solution for converting 1.85232 to a fraction:

Step 1:

First, we write 1.85232 as  
1.85232/1

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!
1.85232/1
  =  
1.85232 x 100000/1 x 100000
  =  
185232/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 185232 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 185232 are: 1  2  3  4  6  8  12  16  17  24  34  48  51  68  102  136  204  227  272  408  454  681  816  908  1362  1816  2724  3632  3859  5448  7718  10896  11577  15436  23154  30872  46308  61744  92616  185232 
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 185232 and 100000 that gives us a GCF value of: 16

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.
185232/100000
  =  
185232 ÷ 16/100000 ÷ 16
  =  
11577/6250


Good work! We have just walked through the steps on how to represent 1.85232 as a fraction.

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