What is 2.63376 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 2.63376 into a fraction.

Answer: 2.63376 as a fraction equals 263376/100000 or 16461/6250

Here is the solution for converting 2.63376 to a fraction:

Step 1:

First, we write 2.63376 as  
2.63376/1

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!
2.63376/1
  =  
2.63376 x 100000/1 x 100000
  =  
263376/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 263376 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 263376 are: 1  2  3  4  6  8  9  12  16  18  24  31  36  48  59  62  72  93  118  124  144  177  186  236  248  279  354  372  472  496  531  558  708  744  944  1062  1116  1416  1488  1829  2124  2232  2832  3658  4248  4464  5487  7316  8496  10974  14632  16461  21948  29264  32922  43896  65844  87792  131688  263376 
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 263376 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.
263376/100000
  =  
263376 ÷ 16/100000 ÷ 16
  =  
16461/6250


Good work! We have just walked through the steps on how to represent 2.63376 as a fraction.

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