What is 1.6632 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 1.6632 into a fraction.

Answer: 1.6632 as a fraction equals 16632/10000 or 2079/1250

Here is the solution for converting 1.6632 to a fraction:

Step 1:

First, we write 1.6632 as  
1.6632/1

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!
1.6632/1
  =  
1.6632 x 10000/1 x 10000
  =  
16632/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 16632 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 16632 are: 1  2  3  4  6  7  8  9  11  12  14  18  21  22  24  27  28  33  36  42  44  54  56  63  66  72  77  84  88  99  108  126  132  154  168  189  198  216  231  252  264  297  308  378  396  462  504  594  616  693  756  792  924  1188  1386  1512  1848  2079  2376  2772  4158  5544  8316  16632 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 16632 and 10000 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.
16632/10000
  =  
16632 ÷ 8/10000 ÷ 8
  =  
2079/1250


Good work! We have just walked through the steps on how to represent 1.6632 as a fraction.

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