What is 0.49632 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 0.49632 into a fraction.

Answer: 0.49632 as a fraction equals 49632/100000 or 1551/3125

Here is the solution for converting 0.49632 to a fraction:

Step 1:

First, we write 0.49632 as  
0.49632/1

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!
0.49632/1
  =  
0.49632 x 100000/1 x 100000
  =  
49632/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 49632 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 49632 are: 1  2  3  4  6  8  11  12  16  22  24  32  33  44  47  48  66  88  94  96  132  141  176  188  264  282  352  376  517  528  564  752  1034  1056  1128  1504  1551  2068  2256  3102  4136  4512  6204  8272  12408  16544  24816  49632 
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 49632 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.
49632/100000
  =  
49632 ÷ 32/100000 ÷ 32
  =  
1551/3125


Good work! We have just walked through the steps on how to represent 0.49632 as a fraction.

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