What is 1.62432 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 1.62432 into a fraction.

Answer: 1.62432 as a fraction equals 162432/100000 or 5076/3125

Here is the solution for converting 1.62432 to a fraction:

Step 1:

First, we write 1.62432 as  
1.62432/1

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!
1.62432/1
  =  
1.62432 x 100000/1 x 100000
  =  
162432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 162432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 162432 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  47  48  54  64  72  94  96  108  128  141  144  188  192  216  282  288  376  384  423  432  564  576  752  846  864  1128  1152  1269  1504  1692  1728  2256  2538  3008  3384  3456  4512  5076  6016  6768  9024  10152  13536  18048  20304  27072  40608  54144  81216  162432 
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 162432 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.
162432/100000
  =  
162432 ÷ 32/100000 ÷ 32
  =  
5076/3125


Good work! We have just walked through the steps on how to represent 1.62432 as a fraction.

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